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Finding the Fourth Proportional to 9,154.64, 13,733.04 and 6,860.72

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Solution

The fourth proportional to 9,154.64, 13,733.04 and 6,860.72 is: 10,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.64 : 13,733.04 = 6,860.72 : x
  2. Step 2: Convert to fraction form
    9,154.64/13,733.04 = 6,860.72/x
  3. Step 3: Cross multiply
    9,154.64x = 13,733.04 × 6,860.72
  4. Step 4: Simplify right side
    9,154.64x = 94,218,542.19
  5. Step 5: Solve for x
    x = 94,218,542.19/9,154.64
  6. Step 6: Final answer
    x = 10,291.89

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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.