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Finding the Fourth Proportional to 9,636.86, 13,302 and 5,657.87

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Solution

The fourth proportional to 9,636.86, 13,302 and 5,657.87 is: 7,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.86 : 13,302 = 5,657.87 : x
  2. Step 2: Convert to fraction form
    9,636.86/13,302 = 5,657.87/x
  3. Step 3: Cross multiply
    9,636.86x = 13,302 × 5,657.87
  4. Step 4: Simplify right side
    9,636.86x = 75,260,920.23
  5. Step 5: Solve for x
    x = 75,260,920.23/9,636.86
  6. Step 6: Final answer
    x = 7,809.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.