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Finding the Fourth Proportional to 9,155.70, 13,734.90 and 4,475.93

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Solution

The fourth proportional to 9,155.70, 13,734.90 and 4,475.93 is: 6,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.70 : 13,734.90 = 4,475.93 : x
  2. Step 2: Convert to fraction form
    9,155.70/13,734.90 = 4,475.93/x
  3. Step 3: Cross multiply
    9,155.70x = 13,734.90 × 4,475.93
  4. Step 4: Simplify right side
    9,155.70x = 61,476,382.28
  5. Step 5: Solve for x
    x = 61,476,382.28/9,155.70
  6. Step 6: Final answer
    x = 6,714.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.