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Finding the Fourth Proportional to 6,535.10, 9,014.48 and 6,097.70

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Solution

The fourth proportional to 6,535.10, 9,014.48 and 6,097.70 is: 8,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.10 : 9,014.48 = 6,097.70 : x
  2. Step 2: Convert to fraction form
    6,535.10/9,014.48 = 6,097.70/x
  3. Step 3: Cross multiply
    6,535.10x = 9,014.48 × 6,097.70
  4. Step 4: Simplify right side
    6,535.10x = 54,967,594.70
  5. Step 5: Solve for x
    x = 54,967,594.70/6,535.10
  6. Step 6: Final answer
    x = 8,411.13

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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.