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Finding the Fourth Proportional to 9,587.71, 13,202.43 and 9,369.37

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Solution

The fourth proportional to 9,587.71, 13,202.43 and 9,369.37 is: 12,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.71 : 13,202.43 = 9,369.37 : x
  2. Step 2: Convert to fraction form
    9,587.71/13,202.43 = 9,369.37/x
  3. Step 3: Cross multiply
    9,587.71x = 13,202.43 × 9,369.37
  4. Step 4: Simplify right side
    9,587.71x = 123,698,451.57
  5. Step 5: Solve for x
    x = 123,698,451.57/9,587.71
  6. Step 6: Final answer
    x = 12,901.77

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1.5x scale

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.