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Finding the Fourth Proportional to 9,754.47, 13,461.17 and 5,278.21

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Solution

The fourth proportional to 9,754.47, 13,461.17 and 5,278.21 is: 7,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.47 : 13,461.17 = 5,278.21 : x
  2. Step 2: Convert to fraction form
    9,754.47/13,461.17 = 5,278.21/x
  3. Step 3: Cross multiply
    9,754.47x = 13,461.17 × 5,278.21
  4. Step 4: Simplify right side
    9,754.47x = 71,050,851.75
  5. Step 5: Solve for x
    x = 71,050,851.75/9,754.47
  6. Step 6: Final answer
    x = 7,283.93

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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.