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Finding the Fourth Proportional to 9,233.48, 13,848.72 and 2,658.17

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Solution

The fourth proportional to 9,233.48, 13,848.72 and 2,658.17 is: 3,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.48 : 13,848.72 = 2,658.17 : x
  2. Step 2: Convert to fraction form
    9,233.48/13,848.72 = 2,658.17/x
  3. Step 3: Cross multiply
    9,233.48x = 13,848.72 × 2,658.17
  4. Step 4: Simplify right side
    9,233.48x = 36,812,182.80
  5. Step 5: Solve for x
    x = 36,812,182.80/9,233.48
  6. Step 6: Final answer
    x = 3,986.82

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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.