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Finding the Fourth Proportional to 9,789.60, 13,508.82 and 5,810.04

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Solution

The fourth proportional to 9,789.60, 13,508.82 and 5,810.04 is: 8,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.60 : 13,508.82 = 5,810.04 : x
  2. Step 2: Convert to fraction form
    9,789.60/13,508.82 = 5,810.04/x
  3. Step 3: Cross multiply
    9,789.60x = 13,508.82 × 5,810.04
  4. Step 4: Simplify right side
    9,789.60x = 78,486,784.55
  5. Step 5: Solve for x
    x = 78,486,784.55/9,789.60
  6. Step 6: Final answer
    x = 8,017.36

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