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Finding the Fourth Proportional to 9,915.40, 14,857.30 and 5,235.22

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Solution

The fourth proportional to 9,915.40, 14,857.30 and 5,235.22 is: 7,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.40 : 14,857.30 = 5,235.22 : x
  2. Step 2: Convert to fraction form
    9,915.40/14,857.30 = 5,235.22/x
  3. Step 3: Cross multiply
    9,915.40x = 14,857.30 × 5,235.22
  4. Step 4: Simplify right side
    9,915.40x = 77,781,234.11
  5. Step 5: Solve for x
    x = 77,781,234.11/9,915.40
  6. Step 6: Final answer
    x = 7,844.49

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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.