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Finding the Fourth Proportional to 9,148.61, 13,733.84 and 5,452.58

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Solution

The fourth proportional to 9,148.61, 13,733.84 and 5,452.58 is: 8,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.61 : 13,733.84 = 5,452.58 : x
  2. Step 2: Convert to fraction form
    9,148.61/13,733.84 = 5,452.58/x
  3. Step 3: Cross multiply
    9,148.61x = 13,733.84 × 5,452.58
  4. Step 4: Simplify right side
    9,148.61x = 74,884,861.31
  5. Step 5: Solve for x
    x = 74,884,861.31/9,148.61
  6. Step 6: Final answer
    x = 8,185.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.