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Finding the Fourth Proportional to 9,843.60, 13,585.38 and 5,651.76

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Solution

The fourth proportional to 9,843.60, 13,585.38 and 5,651.76 is: 7,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.60 : 13,585.38 = 5,651.76 : x
  2. Step 2: Convert to fraction form
    9,843.60/13,585.38 = 5,651.76/x
  3. Step 3: Cross multiply
    9,843.60x = 13,585.38 × 5,651.76
  4. Step 4: Simplify right side
    9,843.60x = 76,781,307.27
  5. Step 5: Solve for x
    x = 76,781,307.27/9,843.60
  6. Step 6: Final answer
    x = 7,800.12

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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.