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Finding the Fourth Proportional to 9,597.75, 14,397.45 and 2,672.25

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Solution

The fourth proportional to 9,597.75, 14,397.45 and 2,672.25 is: 4,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.75 : 14,397.45 = 2,672.25 : x
  2. Step 2: Convert to fraction form
    9,597.75/14,397.45 = 2,672.25/x
  3. Step 3: Cross multiply
    9,597.75x = 14,397.45 × 2,672.25
  4. Step 4: Simplify right side
    9,597.75x = 38,473,585.76
  5. Step 5: Solve for x
    x = 38,473,585.76/9,597.75
  6. Step 6: Final answer
    x = 4,008.60

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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.