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Finding the Fourth Proportional to 9,705.18, 14,557.77 and 6,439.14

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Solution

The fourth proportional to 9,705.18, 14,557.77 and 6,439.14 is: 9,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.18 : 14,557.77 = 6,439.14 : x
  2. Step 2: Convert to fraction form
    9,705.18/14,557.77 = 6,439.14/x
  3. Step 3: Cross multiply
    9,705.18x = 14,557.77 × 6,439.14
  4. Step 4: Simplify right side
    9,705.18x = 93,739,519.12
  5. Step 5: Solve for x
    x = 93,739,519.12/9,705.18
  6. Step 6: Final answer
    x = 9,658.71

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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.