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Finding the Fourth Proportional to 9,943.90, 13,719.78 and 6,409.16

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Solution

The fourth proportional to 9,943.90, 13,719.78 and 6,409.16 is: 8,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.90 : 13,719.78 = 6,409.16 : x
  2. Step 2: Convert to fraction form
    9,943.90/13,719.78 = 6,409.16/x
  3. Step 3: Cross multiply
    9,943.90x = 13,719.78 × 6,409.16
  4. Step 4: Simplify right side
    9,943.90x = 87,932,248.04
  5. Step 5: Solve for x
    x = 87,932,248.04/9,943.90
  6. Step 6: Final answer
    x = 8,842.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.