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Finding the Fourth Proportional to 9,714.72, 14,559.12 and 5,556

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Solution

The fourth proportional to 9,714.72, 14,559.12 and 5,556 is: 8,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.72 : 14,559.12 = 5,556 : x
  2. Step 2: Convert to fraction form
    9,714.72/14,559.12 = 5,556/x
  3. Step 3: Cross multiply
    9,714.72x = 14,559.12 × 5,556
  4. Step 4: Simplify right side
    9,714.72x = 80,890,470.72
  5. Step 5: Solve for x
    x = 80,890,470.72/9,714.72
  6. Step 6: Final answer
    x = 8,326.59

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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.