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Finding the Fourth Proportional to 27,170.91, 40,746.42 and 9,397.08

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Solution

The fourth proportional to 27,170.91, 40,746.42 and 9,397.08 is: 14,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.91 : 40,746.42 = 9,397.08 : x
  2. Step 2: Convert to fraction form
    27,170.91/40,746.42 = 9,397.08/x
  3. Step 3: Cross multiply
    27,170.91x = 40,746.42 × 9,397.08
  4. Step 4: Simplify right side
    27,170.91x = 382,897,368.45
  5. Step 5: Solve for x
    x = 382,897,368.45/27,170.91
  6. Step 6: Final answer
    x = 14,092.18

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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.