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Finding the Fourth Proportional to 9,952.32, 13,735.26 and 6,177.90

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Solution

The fourth proportional to 9,952.32, 13,735.26 and 6,177.90 is: 8,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.32 : 13,735.26 = 6,177.90 : x
  2. Step 2: Convert to fraction form
    9,952.32/13,735.26 = 6,177.90/x
  3. Step 3: Cross multiply
    9,952.32x = 13,735.26 × 6,177.90
  4. Step 4: Simplify right side
    9,952.32x = 84,855,062.75
  5. Step 5: Solve for x
    x = 84,855,062.75/9,952.32
  6. Step 6: Final answer
    x = 8,526.16

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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.