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Finding the Fourth Proportional to 9,549.16, 13,177.92 and 5,358.40

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Solution

The fourth proportional to 9,549.16, 13,177.92 and 5,358.40 is: 7,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.16 : 13,177.92 = 5,358.40 : x
  2. Step 2: Convert to fraction form
    9,549.16/13,177.92 = 5,358.40/x
  3. Step 3: Cross multiply
    9,549.16x = 13,177.92 × 5,358.40
  4. Step 4: Simplify right side
    9,549.16x = 70,612,566.53
  5. Step 5: Solve for x
    x = 70,612,566.53/9,549.16
  6. Step 6: Final answer
    x = 7,394.64

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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.