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Finding the Fourth Proportional to 9,704.10, 13,386.69 and 6,305.88

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Solution

The fourth proportional to 9,704.10, 13,386.69 and 6,305.88 is: 8,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.10 : 13,386.69 = 6,305.88 : x
  2. Step 2: Convert to fraction form
    9,704.10/13,386.69 = 6,305.88/x
  3. Step 3: Cross multiply
    9,704.10x = 13,386.69 × 6,305.88
  4. Step 4: Simplify right side
    9,704.10x = 84,414,860.74
  5. Step 5: Solve for x
    x = 84,414,860.74/9,704.10
  6. Step 6: Final answer
    x = 8,698.89

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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.