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Finding the Fourth Proportional to 9,598.29, 14,382.85 and 7,121.51

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Solution

The fourth proportional to 9,598.29, 14,382.85 and 7,121.51 is: 10,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.29 : 14,382.85 = 7,121.51 : x
  2. Step 2: Convert to fraction form
    9,598.29/14,382.85 = 7,121.51/x
  3. Step 3: Cross multiply
    9,598.29x = 14,382.85 × 7,121.51
  4. Step 4: Simplify right side
    9,598.29x = 102,427,610.10
  5. Step 5: Solve for x
    x = 102,427,610.10/9,598.29
  6. Step 6: Final answer
    x = 10,671.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.