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Finding the Fourth Proportional to 9,755.66, 14,633.49 and 4,565.18

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Solution

The fourth proportional to 9,755.66, 14,633.49 and 4,565.18 is: 6,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.66 : 14,633.49 = 4,565.18 : x
  2. Step 2: Convert to fraction form
    9,755.66/14,633.49 = 4,565.18/x
  3. Step 3: Cross multiply
    9,755.66x = 14,633.49 × 4,565.18
  4. Step 4: Simplify right side
    9,755.66x = 66,804,515.88
  5. Step 5: Solve for x
    x = 66,804,515.88/9,755.66
  6. Step 6: Final answer
    x = 6,847.77

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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.