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Finding the Fourth Proportional to 9,291.71, 13,926.63 and 4,610.32

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Solution

The fourth proportional to 9,291.71, 13,926.63 and 4,610.32 is: 6,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.71 : 13,926.63 = 4,610.32 : x
  2. Step 2: Convert to fraction form
    9,291.71/13,926.63 = 4,610.32/x
  3. Step 3: Cross multiply
    9,291.71x = 13,926.63 × 4,610.32
  4. Step 4: Simplify right side
    9,291.71x = 64,206,203.29
  5. Step 5: Solve for x
    x = 64,206,203.29/9,291.71
  6. Step 6: Final answer
    x = 6,910.05

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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.