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Finding the Fourth Proportional to 9,656.78, 14,448.72 and 6,373.85

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Solution

The fourth proportional to 9,656.78, 14,448.72 and 6,373.85 is: 9,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.78 : 14,448.72 = 6,373.85 : x
  2. Step 2: Convert to fraction form
    9,656.78/14,448.72 = 6,373.85/x
  3. Step 3: Cross multiply
    9,656.78x = 14,448.72 × 6,373.85
  4. Step 4: Simplify right side
    9,656.78x = 92,093,973.97
  5. Step 5: Solve for x
    x = 92,093,973.97/9,656.78
  6. Step 6: Final answer
    x = 9,536.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.