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Finding the Fourth Proportional to 9,519.34, 14,300.91 and 6,752.86

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Solution

The fourth proportional to 9,519.34, 14,300.91 and 6,752.86 is: 10,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.34 : 14,300.91 = 6,752.86 : x
  2. Step 2: Convert to fraction form
    9,519.34/14,300.91 = 6,752.86/x
  3. Step 3: Cross multiply
    9,519.34x = 14,300.91 × 6,752.86
  4. Step 4: Simplify right side
    9,519.34x = 96,572,043.10
  5. Step 5: Solve for x
    x = 96,572,043.10/9,519.34
  6. Step 6: Final answer
    x = 10,144.83

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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.