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Finding the Fourth Proportional to 9,938.66, 13,715.19 and 5,462.33

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Solution

The fourth proportional to 9,938.66, 13,715.19 and 5,462.33 is: 7,537.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.66 : 13,715.19 = 5,462.33 : x
  2. Step 2: Convert to fraction form
    9,938.66/13,715.19 = 5,462.33/x
  3. Step 3: Cross multiply
    9,938.66x = 13,715.19 × 5,462.33
  4. Step 4: Simplify right side
    9,938.66x = 74,916,825.22
  5. Step 5: Solve for x
    x = 74,916,825.22/9,938.66
  6. Step 6: Final answer
    x = 7,537.92

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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.