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Finding the Fourth Proportional to 9,786.58, 14,686.06 and 5,115.02

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Solution

The fourth proportional to 9,786.58, 14,686.06 and 5,115.02 is: 7,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.58 : 14,686.06 = 5,115.02 : x
  2. Step 2: Convert to fraction form
    9,786.58/14,686.06 = 5,115.02/x
  3. Step 3: Cross multiply
    9,786.58x = 14,686.06 × 5,115.02
  4. Step 4: Simplify right side
    9,786.58x = 75,119,490.62
  5. Step 5: Solve for x
    x = 75,119,490.62/9,786.58
  6. Step 6: Final answer
    x = 7,675.77

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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.