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Finding the Fourth Proportional to 9,097.30, 13,640.35 and 3,544.18

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Solution

The fourth proportional to 9,097.30, 13,640.35 and 3,544.18 is: 5,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.30 : 13,640.35 = 3,544.18 : x
  2. Step 2: Convert to fraction form
    9,097.30/13,640.35 = 3,544.18/x
  3. Step 3: Cross multiply
    9,097.30x = 13,640.35 × 3,544.18
  4. Step 4: Simplify right side
    9,097.30x = 48,343,769.74
  5. Step 5: Solve for x
    x = 48,343,769.74/9,097.30
  6. Step 6: Final answer
    x = 5,314.08

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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.