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Finding the Fourth Proportional to 9,811.38, 13,530.40 and 7,569.71

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Solution

The fourth proportional to 9,811.38, 13,530.40 and 7,569.71 is: 10,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.38 : 13,530.40 = 7,569.71 : x
  2. Step 2: Convert to fraction form
    9,811.38/13,530.40 = 7,569.71/x
  3. Step 3: Cross multiply
    9,811.38x = 13,530.40 × 7,569.71
  4. Step 4: Simplify right side
    9,811.38x = 102,421,204.18
  5. Step 5: Solve for x
    x = 102,421,204.18/9,811.38
  6. Step 6: Final answer
    x = 10,439.02

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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.