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Finding the Fourth Proportional to 9,656.48, 14,481.06 and 4,458.71

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Solution

The fourth proportional to 9,656.48, 14,481.06 and 4,458.71 is: 6,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.48 : 14,481.06 = 4,458.71 : x
  2. Step 2: Convert to fraction form
    9,656.48/14,481.06 = 4,458.71/x
  3. Step 3: Cross multiply
    9,656.48x = 14,481.06 × 4,458.71
  4. Step 4: Simplify right side
    9,656.48x = 64,566,791.35
  5. Step 5: Solve for x
    x = 64,566,791.35/9,656.48
  6. Step 6: Final answer
    x = 6,686.37

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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.