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Finding the Fourth Proportional to 9,644.76, 13,305.96 and 6,290.46

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Solution

The fourth proportional to 9,644.76, 13,305.96 and 6,290.46 is: 8,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.76 : 13,305.96 = 6,290.46 : x
  2. Step 2: Convert to fraction form
    9,644.76/13,305.96 = 6,290.46/x
  3. Step 3: Cross multiply
    9,644.76x = 13,305.96 × 6,290.46
  4. Step 4: Simplify right side
    9,644.76x = 83,700,609.14
  5. Step 5: Solve for x
    x = 83,700,609.14/9,644.76
  6. Step 6: Final answer
    x = 8,678.35

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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.