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Finding the Fourth Proportional to 9,262.52, 12,782.60 and 5,070.80

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Solution

The fourth proportional to 9,262.52, 12,782.60 and 5,070.80 is: 6,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.52 : 12,782.60 = 5,070.80 : x
  2. Step 2: Convert to fraction form
    9,262.52/12,782.60 = 5,070.80/x
  3. Step 3: Cross multiply
    9,262.52x = 12,782.60 × 5,070.80
  4. Step 4: Simplify right side
    9,262.52x = 64,818,008.08
  5. Step 5: Solve for x
    x = 64,818,008.08/9,262.52
  6. Step 6: Final answer
    x = 6,997.88

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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.