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Finding the Fourth Proportional to 9,262, 12,781.56 and 5,070.25

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Solution

The fourth proportional to 9,262, 12,781.56 and 5,070.25 is: 6,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262 : 12,781.56 = 5,070.25 : x
  2. Step 2: Convert to fraction form
    9,262/12,781.56 = 5,070.25/x
  3. Step 3: Cross multiply
    9,262x = 12,781.56 × 5,070.25
  4. Step 4: Simplify right side
    9,262x = 64,805,704.59
  5. Step 5: Solve for x
    x = 64,805,704.59/9,262
  6. Step 6: Final answer
    x = 6,996.95

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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.