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Finding the Fourth Proportional to 9,952.32, 14,915.16 and 5,271.20

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Solution

The fourth proportional to 9,952.32, 14,915.16 and 5,271.20 is: 7,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.32 : 14,915.16 = 5,271.20 : x
  2. Step 2: Convert to fraction form
    9,952.32/14,915.16 = 5,271.20/x
  3. Step 3: Cross multiply
    9,952.32x = 14,915.16 × 5,271.20
  4. Step 4: Simplify right side
    9,952.32x = 78,620,791.39
  5. Step 5: Solve for x
    x = 78,620,791.39/9,952.32
  6. Step 6: Final answer
    x = 7,899.75

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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.