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Finding the Fourth Proportional to 9,714.40, 14,582.40 and 6,020.80

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Solution

The fourth proportional to 9,714.40, 14,582.40 and 6,020.80 is: 9,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.40 : 14,582.40 = 6,020.80 : x
  2. Step 2: Convert to fraction form
    9,714.40/14,582.40 = 6,020.80/x
  3. Step 3: Cross multiply
    9,714.40x = 14,582.40 × 6,020.80
  4. Step 4: Simplify right side
    9,714.40x = 87,797,713.92
  5. Step 5: Solve for x
    x = 87,797,713.92/9,714.40
  6. Step 6: Final answer
    x = 9,037.89

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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.