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Finding the Fourth Proportional to 7,713.63, 11,565.25 and 6,234.64

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Solution

The fourth proportional to 7,713.63, 11,565.25 and 6,234.64 is: 9,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.63 : 11,565.25 = 6,234.64 : x
  2. Step 2: Convert to fraction form
    7,713.63/11,565.25 = 6,234.64/x
  3. Step 3: Cross multiply
    7,713.63x = 11,565.25 × 6,234.64
  4. Step 4: Simplify right side
    7,713.63x = 72,105,125.76
  5. Step 5: Solve for x
    x = 72,105,125.76/7,713.63
  6. Step 6: Final answer
    x = 9,347.76

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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.