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Finding the Fourth Proportional to 9,477.74, 13,080.87 and 5,502.15

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Solution

The fourth proportional to 9,477.74, 13,080.87 and 5,502.15 is: 7,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.74 : 13,080.87 = 5,502.15 : x
  2. Step 2: Convert to fraction form
    9,477.74/13,080.87 = 5,502.15/x
  3. Step 3: Cross multiply
    9,477.74x = 13,080.87 × 5,502.15
  4. Step 4: Simplify right side
    9,477.74x = 71,972,908.87
  5. Step 5: Solve for x
    x = 71,972,908.87/9,477.74
  6. Step 6: Final answer
    x = 7,593.89

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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.