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Finding the Fourth Proportional to 10,872.32, 14,997.12 and 9,478.40

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Solution

The fourth proportional to 10,872.32, 14,997.12 and 9,478.40 is: 13,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.32 : 14,997.12 = 9,478.40 : x
  2. Step 2: Convert to fraction form
    10,872.32/14,997.12 = 9,478.40/x
  3. Step 3: Cross multiply
    10,872.32x = 14,997.12 × 9,478.40
  4. Step 4: Simplify right side
    10,872.32x = 142,148,702.21
  5. Step 5: Solve for x
    x = 142,148,702.21/10,872.32
  6. Step 6: Final answer
    x = 13,074.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.