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Finding the Fourth Proportional to 9,406.72, 12,981.28 and 5,214.97

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Solution

The fourth proportional to 9,406.72, 12,981.28 and 5,214.97 is: 7,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.72 : 12,981.28 = 5,214.97 : x
  2. Step 2: Convert to fraction form
    9,406.72/12,981.28 = 5,214.97/x
  3. Step 3: Cross multiply
    9,406.72x = 12,981.28 × 5,214.97
  4. Step 4: Simplify right side
    9,406.72x = 67,696,985.76
  5. Step 5: Solve for x
    x = 67,696,985.76/9,406.72
  6. Step 6: Final answer
    x = 7,196.66

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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.