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Finding the Fourth Proportional to 9,502.86, 13,117.61 and 8,506.38

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Solution

The fourth proportional to 9,502.86, 13,117.61 and 8,506.38 is: 11,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.86 : 13,117.61 = 8,506.38 : x
  2. Step 2: Convert to fraction form
    9,502.86/13,117.61 = 8,506.38/x
  3. Step 3: Cross multiply
    9,502.86x = 13,117.61 × 8,506.38
  4. Step 4: Simplify right side
    9,502.86x = 111,583,332.82
  5. Step 5: Solve for x
    x = 111,583,332.82/9,502.86
  6. Step 6: Final answer
    x = 11,742.08

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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.