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Finding the Fourth Proportional to 6,097.10, 9,145.65 and 5,392.40

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Solution

The fourth proportional to 6,097.10, 9,145.65 and 5,392.40 is: 8,088.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.10 : 9,145.65 = 5,392.40 : x
  2. Step 2: Convert to fraction form
    6,097.10/9,145.65 = 5,392.40/x
  3. Step 3: Cross multiply
    6,097.10x = 9,145.65 × 5,392.40
  4. Step 4: Simplify right side
    6,097.10x = 49,317,003.06
  5. Step 5: Solve for x
    x = 49,317,003.06/6,097.10
  6. Step 6: Final answer
    x = 8,088.60

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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.