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Finding the Fourth Proportional to 9,097.20, 12,555.65 and 5,741.84

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Solution

The fourth proportional to 9,097.20, 12,555.65 and 5,741.84 is: 7,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.20 : 12,555.65 = 5,741.84 : x
  2. Step 2: Convert to fraction form
    9,097.20/12,555.65 = 5,741.84/x
  3. Step 3: Cross multiply
    9,097.20x = 12,555.65 × 5,741.84
  4. Step 4: Simplify right side
    9,097.20x = 72,092,536.08
  5. Step 5: Solve for x
    x = 72,092,536.08/9,097.20
  6. Step 6: Final answer
    x = 7,924.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.