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Finding the Fourth Proportional to 6,945.48, 9,587.70 and 6,758.28

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Solution

The fourth proportional to 6,945.48, 9,587.70 and 6,758.28 is: 9,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.48 : 9,587.70 = 6,758.28 : x
  2. Step 2: Convert to fraction form
    6,945.48/9,587.70 = 6,758.28/x
  3. Step 3: Cross multiply
    6,945.48x = 9,587.70 × 6,758.28
  4. Step 4: Simplify right side
    6,945.48x = 64,796,361.16
  5. Step 5: Solve for x
    x = 64,796,361.16/6,945.48
  6. Step 6: Final answer
    x = 9,329.28

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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.