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Finding the Fourth Proportional to 9,869.54, 13,615.85 and 6,465.58

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Solution

The fourth proportional to 9,869.54, 13,615.85 and 6,465.58 is: 8,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.54 : 13,615.85 = 6,465.58 : x
  2. Step 2: Convert to fraction form
    9,869.54/13,615.85 = 6,465.58/x
  3. Step 3: Cross multiply
    9,869.54x = 13,615.85 × 6,465.58
  4. Step 4: Simplify right side
    9,869.54x = 88,034,349.57
  5. Step 5: Solve for x
    x = 88,034,349.57/9,869.54
  6. Step 6: Final answer
    x = 8,919.81

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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.