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Finding the Fourth Proportional to 9,641.58, 14,445.86 and 5,262.11

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Solution

The fourth proportional to 9,641.58, 14,445.86 and 5,262.11 is: 7,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.58 : 14,445.86 = 5,262.11 : x
  2. Step 2: Convert to fraction form
    9,641.58/14,445.86 = 5,262.11/x
  3. Step 3: Cross multiply
    9,641.58x = 14,445.86 × 5,262.11
  4. Step 4: Simplify right side
    9,641.58x = 76,015,704.36
  5. Step 5: Solve for x
    x = 76,015,704.36/9,641.58
  6. Step 6: Final answer
    x = 7,884.15

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Why These Related Problems?

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