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Finding the Fourth Proportional to 10,066.35, 13,881.68 and 9,271.71

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Solution

The fourth proportional to 10,066.35, 13,881.68 and 9,271.71 is: 12,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.35 : 13,881.68 = 9,271.71 : x
  2. Step 2: Convert to fraction form
    10,066.35/13,881.68 = 9,271.71/x
  3. Step 3: Cross multiply
    10,066.35x = 13,881.68 × 9,271.71
  4. Step 4: Simplify right side
    10,066.35x = 128,706,864.91
  5. Step 5: Solve for x
    x = 128,706,864.91/10,066.35
  6. Step 6: Final answer
    x = 12,785.85

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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.