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Finding the Fourth Proportional to 9,097.39, 12,555.90 and 5,742.03

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Solution

The fourth proportional to 9,097.39, 12,555.90 and 5,742.03 is: 7,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.39 : 12,555.90 = 5,742.03 : x
  2. Step 2: Convert to fraction form
    9,097.39/12,555.90 = 5,742.03/x
  3. Step 3: Cross multiply
    9,097.39x = 12,555.90 × 5,742.03
  4. Step 4: Simplify right side
    9,097.39x = 72,096,354.48
  5. Step 5: Solve for x
    x = 72,096,354.48/9,097.39
  6. Step 6: Final answer
    x = 7,924.95

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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.