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Finding the Fourth Proportional to 9,417.15, 13,008.45 and 7,542.20

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Solution

The fourth proportional to 9,417.15, 13,008.45 and 7,542.20 is: 10,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.15 : 13,008.45 = 7,542.20 : x
  2. Step 2: Convert to fraction form
    9,417.15/13,008.45 = 7,542.20/x
  3. Step 3: Cross multiply
    9,417.15x = 13,008.45 × 7,542.20
  4. Step 4: Simplify right side
    9,417.15x = 98,112,266.55
  5. Step 5: Solve for x
    x = 98,112,266.55/9,417.15
  6. Step 6: Final answer
    x = 10,418.47

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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.