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Finding the Fourth Proportional to 9,643.98, 14,456.05 and 4,382.65

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Solution

The fourth proportional to 9,643.98, 14,456.05 and 4,382.65 is: 6,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.98 : 14,456.05 = 4,382.65 : x
  2. Step 2: Convert to fraction form
    9,643.98/14,456.05 = 4,382.65/x
  3. Step 3: Cross multiply
    9,643.98x = 14,456.05 × 4,382.65
  4. Step 4: Simplify right side
    9,643.98x = 63,355,831.08
  5. Step 5: Solve for x
    x = 63,355,831.08/9,643.98
  6. Step 6: Final answer
    x = 6,569.47

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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.