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Finding the Fourth Proportional to 9,854.60, 13,597.65 and 5,874.26

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Solution

The fourth proportional to 9,854.60, 13,597.65 and 5,874.26 is: 8,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.60 : 13,597.65 = 5,874.26 : x
  2. Step 2: Convert to fraction form
    9,854.60/13,597.65 = 5,874.26/x
  3. Step 3: Cross multiply
    9,854.60x = 13,597.65 × 5,874.26
  4. Step 4: Simplify right side
    9,854.60x = 79,876,063.50
  5. Step 5: Solve for x
    x = 79,876,063.50/9,854.60
  6. Step 6: Final answer
    x = 8,105.46

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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.