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Finding the Fourth Proportional to 9,875.72, 13,632.18 and 6,149

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Solution

The fourth proportional to 9,875.72, 13,632.18 and 6,149 is: 8,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.72 : 13,632.18 = 6,149 : x
  2. Step 2: Convert to fraction form
    9,875.72/13,632.18 = 6,149/x
  3. Step 3: Cross multiply
    9,875.72x = 13,632.18 × 6,149
  4. Step 4: Simplify right side
    9,875.72x = 83,824,274.82
  5. Step 5: Solve for x
    x = 83,824,274.82/9,875.72
  6. Step 6: Final answer
    x = 8,487.92

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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.