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Finding the Fourth Proportional to 10,167.39, 14,011.92 and 6,981.66

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Solution

The fourth proportional to 10,167.39, 14,011.92 and 6,981.66 is: 9,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.39 : 14,011.92 = 6,981.66 : x
  2. Step 2: Convert to fraction form
    10,167.39/14,011.92 = 6,981.66/x
  3. Step 3: Cross multiply
    10,167.39x = 14,011.92 × 6,981.66
  4. Step 4: Simplify right side
    10,167.39x = 97,826,461.39
  5. Step 5: Solve for x
    x = 97,826,461.39/10,167.39
  6. Step 6: Final answer
    x = 9,621.59

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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.