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Finding the Fourth Proportional to 9,744.40, 13,438.44 and 6,386

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Solution

The fourth proportional to 9,744.40, 13,438.44 and 6,386 is: 8,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.40 : 13,438.44 = 6,386 : x
  2. Step 2: Convert to fraction form
    9,744.40/13,438.44 = 6,386/x
  3. Step 3: Cross multiply
    9,744.40x = 13,438.44 × 6,386
  4. Step 4: Simplify right side
    9,744.40x = 85,817,877.84
  5. Step 5: Solve for x
    x = 85,817,877.84/9,744.40
  6. Step 6: Final answer
    x = 8,806.90

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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.