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Finding the Fourth Proportional to 9,971,751.87, 14,953,283.37 and 5,296,805.69

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Solution

The fourth proportional to 9,971,751.87, 14,953,283.37 and 5,296,805.69 is: 7,942,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971,751.87 : 14,953,283.37 = 5,296,805.69 : x
  2. Step 2: Convert to fraction form
    9,971,751.87/14,953,283.37 = 5,296,805.69/x
  3. Step 3: Cross multiply
    9,971,751.87x = 14,953,283.37 × 5,296,805.69
  4. Step 4: Simplify right side
    9,971,751.87x = 79,204,636,363,631.95
  5. Step 5: Solve for x
    x = 79,204,636,363,631.95/9,971,751.87
  6. Step 6: Final answer
    x = 7,942,900.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.