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Finding the Fourth Proportional to 9,977.47, 13,769.73 and 5,502.10

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Solution

The fourth proportional to 9,977.47, 13,769.73 and 5,502.10 is: 7,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.47 : 13,769.73 = 5,502.10 : x
  2. Step 2: Convert to fraction form
    9,977.47/13,769.73 = 5,502.10/x
  3. Step 3: Cross multiply
    9,977.47x = 13,769.73 × 5,502.10
  4. Step 4: Simplify right side
    9,977.47x = 75,762,431.43
  5. Step 5: Solve for x
    x = 75,762,431.43/9,977.47
  6. Step 6: Final answer
    x = 7,593.35

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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.