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Finding the Fourth Proportional to 9,288.03, 13,915.87 and 7,738

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Solution

The fourth proportional to 9,288.03, 13,915.87 and 7,738 is: 11,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.03 : 13,915.87 = 7,738 : x
  2. Step 2: Convert to fraction form
    9,288.03/13,915.87 = 7,738/x
  3. Step 3: Cross multiply
    9,288.03x = 13,915.87 × 7,738
  4. Step 4: Simplify right side
    9,288.03x = 107,681,002.06
  5. Step 5: Solve for x
    x = 107,681,002.06/9,288.03
  6. Step 6: Final answer
    x = 11,593.52

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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.