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Finding the Fourth Proportional to 9,105.35, 12,568.16 and 5,329.40

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Solution

The fourth proportional to 9,105.35, 12,568.16 and 5,329.40 is: 7,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.35 : 12,568.16 = 5,329.40 : x
  2. Step 2: Convert to fraction form
    9,105.35/12,568.16 = 5,329.40/x
  3. Step 3: Cross multiply
    9,105.35x = 12,568.16 × 5,329.40
  4. Step 4: Simplify right side
    9,105.35x = 66,980,702.39
  5. Step 5: Solve for x
    x = 66,980,702.39/9,105.35
  6. Step 6: Final answer
    x = 7,356.20

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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.