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Finding the Fourth Proportional to 9,944.52, 14,915.63 and 2,549.03

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Solution

The fourth proportional to 9,944.52, 14,915.63 and 2,549.03 is: 3,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.52 : 14,915.63 = 2,549.03 : x
  2. Step 2: Convert to fraction form
    9,944.52/14,915.63 = 2,549.03/x
  3. Step 3: Cross multiply
    9,944.52x = 14,915.63 × 2,549.03
  4. Step 4: Simplify right side
    9,944.52x = 38,020,301.02
  5. Step 5: Solve for x
    x = 38,020,301.02/9,944.52
  6. Step 6: Final answer
    x = 3,823.24

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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.