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Finding the Fourth Proportional to 9,862.64, 13,609.93 and 5,385.53

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Solution

The fourth proportional to 9,862.64, 13,609.93 and 5,385.53 is: 7,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.64 : 13,609.93 = 5,385.53 : x
  2. Step 2: Convert to fraction form
    9,862.64/13,609.93 = 5,385.53/x
  3. Step 3: Cross multiply
    9,862.64x = 13,609.93 × 5,385.53
  4. Step 4: Simplify right side
    9,862.64x = 73,296,591.34
  5. Step 5: Solve for x
    x = 73,296,591.34/9,862.64
  6. Step 6: Final answer
    x = 7,431.75

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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.