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Finding the Fourth Proportional to 9,486.86, 14,230.29 and 3,246.95

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Solution

The fourth proportional to 9,486.86, 14,230.29 and 3,246.95 is: 4,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.86 : 14,230.29 = 3,246.95 : x
  2. Step 2: Convert to fraction form
    9,486.86/14,230.29 = 3,246.95/x
  3. Step 3: Cross multiply
    9,486.86x = 14,230.29 × 3,246.95
  4. Step 4: Simplify right side
    9,486.86x = 46,205,040.12
  5. Step 5: Solve for x
    x = 46,205,040.12/9,486.86
  6. Step 6: Final answer
    x = 4,870.43

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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.