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Finding the Fourth Proportional to 9,488.75, 13,094.49 and 5,297

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Solution

The fourth proportional to 9,488.75, 13,094.49 and 5,297 is: 7,309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.75 : 13,094.49 = 5,297 : x
  2. Step 2: Convert to fraction form
    9,488.75/13,094.49 = 5,297/x
  3. Step 3: Cross multiply
    9,488.75x = 13,094.49 × 5,297
  4. Step 4: Simplify right side
    9,488.75x = 69,361,513.53
  5. Step 5: Solve for x
    x = 69,361,513.53/9,488.75
  6. Step 6: Final answer
    x = 7,309.87

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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.