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Finding the Fourth Proportional to 9,133.60, 13,689.04 and 4,748.48

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Solution

The fourth proportional to 9,133.60, 13,689.04 and 4,748.48 is: 7,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.60 : 13,689.04 = 4,748.48 : x
  2. Step 2: Convert to fraction form
    9,133.60/13,689.04 = 4,748.48/x
  3. Step 3: Cross multiply
    9,133.60x = 13,689.04 × 4,748.48
  4. Step 4: Simplify right side
    9,133.60x = 65,002,132.66
  5. Step 5: Solve for x
    x = 65,002,132.66/9,133.60
  6. Step 6: Final answer
    x = 7,116.81

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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.