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Finding the Fourth Proportional to 9,297.57, 13,948.07 and 3,057.93

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Solution

The fourth proportional to 9,297.57, 13,948.07 and 3,057.93 is: 4,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.57 : 13,948.07 = 3,057.93 : x
  2. Step 2: Convert to fraction form
    9,297.57/13,948.07 = 3,057.93/x
  3. Step 3: Cross multiply
    9,297.57x = 13,948.07 × 3,057.93
  4. Step 4: Simplify right side
    9,297.57x = 42,652,221.70
  5. Step 5: Solve for x
    x = 42,652,221.70/9,297.57
  6. Step 6: Final answer
    x = 4,587.46

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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.