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Finding the Fourth Proportional to 9,517.23, 14,275.71 and 9,281.93

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Solution

The fourth proportional to 9,517.23, 14,275.71 and 9,281.93 is: 13,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.23 : 14,275.71 = 9,281.93 : x
  2. Step 2: Convert to fraction form
    9,517.23/14,275.71 = 9,281.93/x
  3. Step 3: Cross multiply
    9,517.23x = 14,275.71 × 9,281.93
  4. Step 4: Simplify right side
    9,517.23x = 132,506,069.54
  5. Step 5: Solve for x
    x = 132,506,069.54/9,517.23
  6. Step 6: Final answer
    x = 13,922.76

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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.