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Finding the Fourth Proportional to 9,140.06, 13,710.90 and 7,061.60

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Solution

The fourth proportional to 9,140.06, 13,710.90 and 7,061.60 is: 10,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.06 : 13,710.90 = 7,061.60 : x
  2. Step 2: Convert to fraction form
    9,140.06/13,710.90 = 7,061.60/x
  3. Step 3: Cross multiply
    9,140.06x = 13,710.90 × 7,061.60
  4. Step 4: Simplify right side
    9,140.06x = 96,820,891.44
  5. Step 5: Solve for x
    x = 96,820,891.44/9,140.06
  6. Step 6: Final answer
    x = 10,593.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.