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Finding the Fourth Proportional to 28,862.30, 43,294.80 and 9,142.40

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Solution

The fourth proportional to 28,862.30, 43,294.80 and 9,142.40 is: 13,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,862.30 : 43,294.80 = 9,142.40 : x
  2. Step 2: Convert to fraction form
    28,862.30/43,294.80 = 9,142.40/x
  3. Step 3: Cross multiply
    28,862.30x = 43,294.80 × 9,142.40
  4. Step 4: Simplify right side
    28,862.30x = 395,818,379.52
  5. Step 5: Solve for x
    x = 395,818,379.52/28,862.30
  6. Step 6: Final answer
    x = 13,714.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.