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Finding the Fourth Proportional to 9,876.88, 14,810.46 and 4,031.92

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Solution

The fourth proportional to 9,876.88, 14,810.46 and 4,031.92 is: 6,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.88 : 14,810.46 = 4,031.92 : x
  2. Step 2: Convert to fraction form
    9,876.88/14,810.46 = 4,031.92/x
  3. Step 3: Cross multiply
    9,876.88x = 14,810.46 × 4,031.92
  4. Step 4: Simplify right side
    9,876.88x = 59,714,589.88
  5. Step 5: Solve for x
    x = 59,714,589.88/9,876.88
  6. Step 6: Final answer
    x = 6,045.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.