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Finding the Fourth Proportional to 9,641.57, 14,451.21 and 4,436.51

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Solution

The fourth proportional to 9,641.57, 14,451.21 and 4,436.51 is: 6,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.57 : 14,451.21 = 4,436.51 : x
  2. Step 2: Convert to fraction form
    9,641.57/14,451.21 = 4,436.51/x
  3. Step 3: Cross multiply
    9,641.57x = 14,451.21 × 4,436.51
  4. Step 4: Simplify right side
    9,641.57x = 64,112,865.42
  5. Step 5: Solve for x
    x = 64,112,865.42/9,641.57
  6. Step 6: Final answer
    x = 6,649.63

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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.