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Finding the Fourth Proportional to 9,409.63, 14,116.82 and 6,641.71

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Solution

The fourth proportional to 9,409.63, 14,116.82 and 6,641.71 is: 9,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.63 : 14,116.82 = 6,641.71 : x
  2. Step 2: Convert to fraction form
    9,409.63/14,116.82 = 6,641.71/x
  3. Step 3: Cross multiply
    9,409.63x = 14,116.82 × 6,641.71
  4. Step 4: Simplify right side
    9,409.63x = 93,759,756.06
  5. Step 5: Solve for x
    x = 93,759,756.06/9,409.63
  6. Step 6: Final answer
    x = 9,964.24

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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.