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Finding the Fourth Proportional to 6,560, 9,789.62 and 5,859.36

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Solution

The fourth proportional to 6,560, 9,789.62 and 5,859.36 is: 8,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 9,789.62 = 5,859.36 : x
  2. Step 2: Convert to fraction form
    6,560/9,789.62 = 5,859.36/x
  3. Step 3: Cross multiply
    6,560x = 9,789.62 × 5,859.36
  4. Step 4: Simplify right side
    6,560x = 57,360,907.84
  5. Step 5: Solve for x
    x = 57,360,907.84/6,560
  6. Step 6: Final answer
    x = 8,744.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.