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Finding the Fourth Proportional to 9,262.16, 12,781.78 and 5,070.41

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Solution

The fourth proportional to 9,262.16, 12,781.78 and 5,070.41 is: 6,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.16 : 12,781.78 = 5,070.41 : x
  2. Step 2: Convert to fraction form
    9,262.16/12,781.78 = 5,070.41/x
  3. Step 3: Cross multiply
    9,262.16x = 12,781.78 × 5,070.41
  4. Step 4: Simplify right side
    9,262.16x = 64,808,798.18
  5. Step 5: Solve for x
    x = 64,808,798.18/9,262.16
  6. Step 6: Final answer
    x = 6,997.16

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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.