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Finding the Fourth Proportional to 9,135.10, 13,708.05 and 6,663.70

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Solution

The fourth proportional to 9,135.10, 13,708.05 and 6,663.70 is: 9,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.10 : 13,708.05 = 6,663.70 : x
  2. Step 2: Convert to fraction form
    9,135.10/13,708.05 = 6,663.70/x
  3. Step 3: Cross multiply
    9,135.10x = 13,708.05 × 6,663.70
  4. Step 4: Simplify right side
    9,135.10x = 91,346,332.79
  5. Step 5: Solve for x
    x = 91,346,332.79/9,135.10
  6. Step 6: Final answer
    x = 9,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.