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Finding the Fourth Proportional to 9,374.71, 14,062.24 and 3,134.76

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Solution

The fourth proportional to 9,374.71, 14,062.24 and 3,134.76 is: 4,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.71 : 14,062.24 = 3,134.76 : x
  2. Step 2: Convert to fraction form
    9,374.71/14,062.24 = 3,134.76/x
  3. Step 3: Cross multiply
    9,374.71x = 14,062.24 × 3,134.76
  4. Step 4: Simplify right side
    9,374.71x = 44,081,701.92
  5. Step 5: Solve for x
    x = 44,081,701.92/9,374.71
  6. Step 6: Final answer
    x = 4,702.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.