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Finding the Fourth Proportional to 9,057.30, 12,498.21 and 5,077.50

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Solution

The fourth proportional to 9,057.30, 12,498.21 and 5,077.50 is: 7,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.30 : 12,498.21 = 5,077.50 : x
  2. Step 2: Convert to fraction form
    9,057.30/12,498.21 = 5,077.50/x
  3. Step 3: Cross multiply
    9,057.30x = 12,498.21 × 5,077.50
  4. Step 4: Simplify right side
    9,057.30x = 63,459,661.28
  5. Step 5: Solve for x
    x = 63,459,661.28/9,057.30
  6. Step 6: Final answer
    x = 7,006.47

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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.