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Finding the Fourth Proportional to 9,297.30, 13,948.38 and 5,398.35

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Solution

The fourth proportional to 9,297.30, 13,948.38 and 5,398.35 is: 8,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.30 : 13,948.38 = 5,398.35 : x
  2. Step 2: Convert to fraction form
    9,297.30/13,948.38 = 5,398.35/x
  3. Step 3: Cross multiply
    9,297.30x = 13,948.38 × 5,398.35
  4. Step 4: Simplify right side
    9,297.30x = 75,298,237.17
  5. Step 5: Solve for x
    x = 75,298,237.17/9,297.30
  6. Step 6: Final answer
    x = 8,098.94

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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.