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Finding the Fourth Proportional to 9,854.70, 13,599.18 and 5,605.86

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Solution

The fourth proportional to 9,854.70, 13,599.18 and 5,605.86 is: 7,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.70 : 13,599.18 = 5,605.86 : x
  2. Step 2: Convert to fraction form
    9,854.70/13,599.18 = 5,605.86/x
  3. Step 3: Cross multiply
    9,854.70x = 13,599.18 × 5,605.86
  4. Step 4: Simplify right side
    9,854.70x = 76,235,099.19
  5. Step 5: Solve for x
    x = 76,235,099.19/9,854.70
  6. Step 6: Final answer
    x = 7,735.91

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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.