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Finding the Fourth Proportional to 9,613.47, 13,265.33 and 5,837.46

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Solution

The fourth proportional to 9,613.47, 13,265.33 and 5,837.46 is: 8,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.47 : 13,265.33 = 5,837.46 : x
  2. Step 2: Convert to fraction form
    9,613.47/13,265.33 = 5,837.46/x
  3. Step 3: Cross multiply
    9,613.47x = 13,265.33 × 5,837.46
  4. Step 4: Simplify right side
    9,613.47x = 77,435,833.26
  5. Step 5: Solve for x
    x = 77,435,833.26/9,613.47
  6. Step 6: Final answer
    x = 8,054.93

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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.