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Finding the Fourth Proportional to 9,679.77, 14,509.86 and 6,560.10

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Solution

The fourth proportional to 9,679.77, 14,509.86 and 6,560.10 is: 9,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.77 : 14,509.86 = 6,560.10 : x
  2. Step 2: Convert to fraction form
    9,679.77/14,509.86 = 6,560.10/x
  3. Step 3: Cross multiply
    9,679.77x = 14,509.86 × 6,560.10
  4. Step 4: Simplify right side
    9,679.77x = 95,186,132.59
  5. Step 5: Solve for x
    x = 95,186,132.59/9,679.77
  6. Step 6: Final answer
    x = 9,833.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.