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Finding the Fourth Proportional to 9,374.56, 14,126.24 and 7,767.20

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Solution

The fourth proportional to 9,374.56, 14,126.24 and 7,767.20 is: 11,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.56 : 14,126.24 = 7,767.20 : x
  2. Step 2: Convert to fraction form
    9,374.56/14,126.24 = 7,767.20/x
  3. Step 3: Cross multiply
    9,374.56x = 14,126.24 × 7,767.20
  4. Step 4: Simplify right side
    9,374.56x = 109,721,331.33
  5. Step 5: Solve for x
    x = 109,721,331.33/9,374.56
  6. Step 6: Final answer
    x = 11,704.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.