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Finding the Fourth Proportional to 28,433.90, 42,646.80 and 9,714.80

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Solution

The fourth proportional to 28,433.90, 42,646.80 and 9,714.80 is: 14,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,433.90 : 42,646.80 = 9,714.80 : x
  2. Step 2: Convert to fraction form
    28,433.90/42,646.80 = 9,714.80/x
  3. Step 3: Cross multiply
    28,433.90x = 42,646.80 × 9,714.80
  4. Step 4: Simplify right side
    28,433.90x = 414,305,132.64
  5. Step 5: Solve for x
    x = 414,305,132.64/28,433.90
  6. Step 6: Final answer
    x = 14,570.82

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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.