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Finding the Fourth Proportional to 9,932.34, 14,958 and 9,046.61

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Solution

The fourth proportional to 9,932.34, 14,958 and 9,046.61 is: 13,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.34 : 14,958 = 9,046.61 : x
  2. Step 2: Convert to fraction form
    9,932.34/14,958 = 9,046.61/x
  3. Step 3: Cross multiply
    9,932.34x = 14,958 × 9,046.61
  4. Step 4: Simplify right side
    9,932.34x = 135,319,192.38
  5. Step 5: Solve for x
    x = 135,319,192.38/9,932.34
  6. Step 6: Final answer
    x = 13,624.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.