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Finding the Fourth Proportional to 9,042.30, 13,541.67 and 7,718.40

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Solution

The fourth proportional to 9,042.30, 13,541.67 and 7,718.40 is: 11,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.30 : 13,541.67 = 7,718.40 : x
  2. Step 2: Convert to fraction form
    9,042.30/13,541.67 = 7,718.40/x
  3. Step 3: Cross multiply
    9,042.30x = 13,541.67 × 7,718.40
  4. Step 4: Simplify right side
    9,042.30x = 104,520,025.73
  5. Step 5: Solve for x
    x = 104,520,025.73/9,042.30
  6. Step 6: Final answer
    x = 11,559.01

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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.