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Finding the Fourth Proportional to 9,704.64, 13,385.28 and 6,341.04

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Solution

The fourth proportional to 9,704.64, 13,385.28 and 6,341.04 is: 8,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.64 : 13,385.28 = 6,341.04 : x
  2. Step 2: Convert to fraction form
    9,704.64/13,385.28 = 6,341.04/x
  3. Step 3: Cross multiply
    9,704.64x = 13,385.28 × 6,341.04
  4. Step 4: Simplify right side
    9,704.64x = 84,876,595.89
  5. Step 5: Solve for x
    x = 84,876,595.89/9,704.64
  6. Step 6: Final answer
    x = 8,745.98

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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.