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Finding the Fourth Proportional to 9,262.52, 12,782.51 and 5,070.77

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Solution

The fourth proportional to 9,262.52, 12,782.51 and 5,070.77 is: 6,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.52 : 12,782.51 = 5,070.77 : x
  2. Step 2: Convert to fraction form
    9,262.52/12,782.51 = 5,070.77/x
  3. Step 3: Cross multiply
    9,262.52x = 12,782.51 × 5,070.77
  4. Step 4: Simplify right side
    9,262.52x = 64,817,078.97
  5. Step 5: Solve for x
    x = 64,817,078.97/9,262.52
  6. Step 6: Final answer
    x = 6,997.78

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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.