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Finding the Fourth Proportional to 9,597.96, 14,398.56 and 3,751.38

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Solution

The fourth proportional to 9,597.96, 14,398.56 and 3,751.38 is: 5,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.96 : 14,398.56 = 3,751.38 : x
  2. Step 2: Convert to fraction form
    9,597.96/14,398.56 = 3,751.38/x
  3. Step 3: Cross multiply
    9,597.96x = 14,398.56 × 3,751.38
  4. Step 4: Simplify right side
    9,597.96x = 54,014,470.01
  5. Step 5: Solve for x
    x = 54,014,470.01/9,597.96
  6. Step 6: Final answer
    x = 5,627.70

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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.