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Finding the Fourth Proportional to 9,854.58, 13,597.68 and 5,874.24

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Solution

The fourth proportional to 9,854.58, 13,597.68 and 5,874.24 is: 8,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.58 : 13,597.68 = 5,874.24 : x
  2. Step 2: Convert to fraction form
    9,854.58/13,597.68 = 5,874.24/x
  3. Step 3: Cross multiply
    9,854.58x = 13,597.68 × 5,874.24
  4. Step 4: Simplify right side
    9,854.58x = 79,876,035.76
  5. Step 5: Solve for x
    x = 79,876,035.76/9,854.58
  6. Step 6: Final answer
    x = 8,105.47

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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.