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Finding the Fourth Proportional to 9,642.45, 14,465.79 and 4,100.54

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Solution

The fourth proportional to 9,642.45, 14,465.79 and 4,100.54 is: 6,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.45 : 14,465.79 = 4,100.54 : x
  2. Step 2: Convert to fraction form
    9,642.45/14,465.79 = 4,100.54/x
  3. Step 3: Cross multiply
    9,642.45x = 14,465.79 × 4,100.54
  4. Step 4: Simplify right side
    9,642.45x = 59,317,478.20
  5. Step 5: Solve for x
    x = 59,317,478.20/9,642.45
  6. Step 6: Final answer
    x = 6,151.70

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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.