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Finding the Fourth Proportional to 9,271.90, 13,909.20 and 3,032.20

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Solution

The fourth proportional to 9,271.90, 13,909.20 and 3,032.20 is: 4,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.90 : 13,909.20 = 3,032.20 : x
  2. Step 2: Convert to fraction form
    9,271.90/13,909.20 = 3,032.20/x
  3. Step 3: Cross multiply
    9,271.90x = 13,909.20 × 3,032.20
  4. Step 4: Simplify right side
    9,271.90x = 42,175,476.24
  5. Step 5: Solve for x
    x = 42,175,476.24/9,271.90
  6. Step 6: Final answer
    x = 4,548.74

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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.