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Finding the Fourth Proportional to 9,834.67, 14,744.48 and 4,907.76

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Solution

The fourth proportional to 9,834.67, 14,744.48 and 4,907.76 is: 7,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.67 : 14,744.48 = 4,907.76 : x
  2. Step 2: Convert to fraction form
    9,834.67/14,744.48 = 4,907.76/x
  3. Step 3: Cross multiply
    9,834.67x = 14,744.48 × 4,907.76
  4. Step 4: Simplify right side
    9,834.67x = 72,362,441.35
  5. Step 5: Solve for x
    x = 72,362,441.35/9,834.67
  6. Step 6: Final answer
    x = 7,357.90

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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.