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Finding the Fourth Proportional to 9,684.16, 13,371.08 and 7,442.48

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Solution

The fourth proportional to 9,684.16, 13,371.08 and 7,442.48 is: 10,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.16 : 13,371.08 = 7,442.48 : x
  2. Step 2: Convert to fraction form
    9,684.16/13,371.08 = 7,442.48/x
  3. Step 3: Cross multiply
    9,684.16x = 13,371.08 × 7,442.48
  4. Step 4: Simplify right side
    9,684.16x = 99,513,991.69
  5. Step 5: Solve for x
    x = 99,513,991.69/9,684.16
  6. Step 6: Final answer
    x = 10,275.96

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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.