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Finding the Fourth Proportional to 9,781.83, 14,635.98 and 5,818.50

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Solution

The fourth proportional to 9,781.83, 14,635.98 and 5,818.50 is: 8,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.83 : 14,635.98 = 5,818.50 : x
  2. Step 2: Convert to fraction form
    9,781.83/14,635.98 = 5,818.50/x
  3. Step 3: Cross multiply
    9,781.83x = 14,635.98 × 5,818.50
  4. Step 4: Simplify right side
    9,781.83x = 85,159,449.63
  5. Step 5: Solve for x
    x = 85,159,449.63/9,781.83
  6. Step 6: Final answer
    x = 8,705.88

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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.