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Finding the Fourth Proportional to 9,545.52, 13,142.88 and 8,670.72

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Solution

The fourth proportional to 9,545.52, 13,142.88 and 8,670.72 is: 11,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.52 : 13,142.88 = 8,670.72 : x
  2. Step 2: Convert to fraction form
    9,545.52/13,142.88 = 8,670.72/x
  3. Step 3: Cross multiply
    9,545.52x = 13,142.88 × 8,670.72
  4. Step 4: Simplify right side
    9,545.52x = 113,958,232.47
  5. Step 5: Solve for x
    x = 113,958,232.47/9,545.52
  6. Step 6: Final answer
    x = 11,938.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.