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Finding the Fourth Proportional to 9,281.90, 13,926.04 and 2,709.05

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Solution

The fourth proportional to 9,281.90, 13,926.04 and 2,709.05 is: 4,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.90 : 13,926.04 = 2,709.05 : x
  2. Step 2: Convert to fraction form
    9,281.90/13,926.04 = 2,709.05/x
  3. Step 3: Cross multiply
    9,281.90x = 13,926.04 × 2,709.05
  4. Step 4: Simplify right side
    9,281.90x = 37,726,325.12
  5. Step 5: Solve for x
    x = 37,726,325.12/9,281.90
  6. Step 6: Final answer
    x = 4,064.51

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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.