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Finding the Fourth Proportional to 9,157.52, 12,637.32 and 4,965.76

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Solution

The fourth proportional to 9,157.52, 12,637.32 and 4,965.76 is: 6,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.52 : 12,637.32 = 4,965.76 : x
  2. Step 2: Convert to fraction form
    9,157.52/12,637.32 = 4,965.76/x
  3. Step 3: Cross multiply
    9,157.52x = 12,637.32 × 4,965.76
  4. Step 4: Simplify right side
    9,157.52x = 62,753,898.16
  5. Step 5: Solve for x
    x = 62,753,898.16/9,157.52
  6. Step 6: Final answer
    x = 6,852.72

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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.