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Finding the Fourth Proportional to 9,261.72, 13,902.34 and 9,052.76

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Solution

The fourth proportional to 9,261.72, 13,902.34 and 9,052.76 is: 13,588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.72 : 13,902.34 = 9,052.76 : x
  2. Step 2: Convert to fraction form
    9,261.72/13,902.34 = 9,052.76/x
  3. Step 3: Cross multiply
    9,261.72x = 13,902.34 × 9,052.76
  4. Step 4: Simplify right side
    9,261.72x = 125,854,547.46
  5. Step 5: Solve for x
    x = 125,854,547.46/9,261.72
  6. Step 6: Final answer
    x = 13,588.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.