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Finding the Fourth Proportional to 7,093,002.25, 9,788,354.04 and 4,037,216.50

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Solution

The fourth proportional to 7,093,002.25, 9,788,354.04 and 4,037,216.50 is: 5,571,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093,002.25 : 9,788,354.04 = 4,037,216.50 : x
  2. Step 2: Convert to fraction form
    7,093,002.25/9,788,354.04 = 4,037,216.50/x
  3. Step 3: Cross multiply
    7,093,002.25x = 9,788,354.04 × 4,037,216.50
  4. Step 4: Simplify right side
    7,093,002.25x = 39,517,704,438,129.66
  5. Step 5: Solve for x
    x = 39,517,704,438,129.66/7,093,002.25
  6. Step 6: Final answer
    x = 5,571,364.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.