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Finding the Fourth Proportional to 9,884.17, 14,826.29 and 3,641.48

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Solution

The fourth proportional to 9,884.17, 14,826.29 and 3,641.48 is: 5,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.17 : 14,826.29 = 3,641.48 : x
  2. Step 2: Convert to fraction form
    9,884.17/14,826.29 = 3,641.48/x
  3. Step 3: Cross multiply
    9,884.17x = 14,826.29 × 3,641.48
  4. Step 4: Simplify right side
    9,884.17x = 53,989,601.77
  5. Step 5: Solve for x
    x = 53,989,601.77/9,884.17
  6. Step 6: Final answer
    x = 5,462.23

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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.