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Finding the Fourth Proportional to 9,807.06, 13,532.22 and 5,614.50

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Solution

The fourth proportional to 9,807.06, 13,532.22 and 5,614.50 is: 7,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.06 : 13,532.22 = 5,614.50 : x
  2. Step 2: Convert to fraction form
    9,807.06/13,532.22 = 5,614.50/x
  3. Step 3: Cross multiply
    9,807.06x = 13,532.22 × 5,614.50
  4. Step 4: Simplify right side
    9,807.06x = 75,976,649.19
  5. Step 5: Solve for x
    x = 75,976,649.19/9,807.06
  6. Step 6: Final answer
    x = 7,747.14

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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.