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Finding the Fourth Proportional to 9,733.86, 13,436.01 and 6,753.69

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Solution

The fourth proportional to 9,733.86, 13,436.01 and 6,753.69 is: 9,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.86 : 13,436.01 = 6,753.69 : x
  2. Step 2: Convert to fraction form
    9,733.86/13,436.01 = 6,753.69/x
  3. Step 3: Cross multiply
    9,733.86x = 13,436.01 × 6,753.69
  4. Step 4: Simplify right side
    9,733.86x = 90,742,646.38
  5. Step 5: Solve for x
    x = 90,742,646.38/9,733.86
  6. Step 6: Final answer
    x = 9,322.37

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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.