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Finding the Fourth Proportional to 9,646.79, 14,472.39 and 4,100.31

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Solution

The fourth proportional to 9,646.79, 14,472.39 and 4,100.31 is: 6,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.79 : 14,472.39 = 4,100.31 : x
  2. Step 2: Convert to fraction form
    9,646.79/14,472.39 = 4,100.31/x
  3. Step 3: Cross multiply
    9,646.79x = 14,472.39 × 4,100.31
  4. Step 4: Simplify right side
    9,646.79x = 59,341,285.44
  5. Step 5: Solve for x
    x = 59,341,285.44/9,646.79
  6. Step 6: Final answer
    x = 6,151.41

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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.