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Finding the Fourth Proportional to 9,037.12, 12,470.10 and 5,057.22

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Solution

The fourth proportional to 9,037.12, 12,470.10 and 5,057.22 is: 6,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.12 : 12,470.10 = 5,057.22 : x
  2. Step 2: Convert to fraction form
    9,037.12/12,470.10 = 5,057.22/x
  3. Step 3: Cross multiply
    9,037.12x = 12,470.10 × 5,057.22
  4. Step 4: Simplify right side
    9,037.12x = 63,064,039.12
  5. Step 5: Solve for x
    x = 63,064,039.12/9,037.12
  6. Step 6: Final answer
    x = 6,978.33

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