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Finding the Fourth Proportional to 9,766.16, 14,649.18 and 2,370.65

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Solution

The fourth proportional to 9,766.16, 14,649.18 and 2,370.65 is: 3,555.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.16 : 14,649.18 = 2,370.65 : x
  2. Step 2: Convert to fraction form
    9,766.16/14,649.18 = 2,370.65/x
  3. Step 3: Cross multiply
    9,766.16x = 14,649.18 × 2,370.65
  4. Step 4: Simplify right side
    9,766.16x = 34,728,005.32
  5. Step 5: Solve for x
    x = 34,728,005.32/9,766.16
  6. Step 6: Final answer
    x = 3,555.95

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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.