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Finding the Fourth Proportional to 9,713.12, 14,559.84 and 8,546.72

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Solution

The fourth proportional to 9,713.12, 14,559.84 and 8,546.72 is: 12,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.12 : 14,559.84 = 8,546.72 : x
  2. Step 2: Convert to fraction form
    9,713.12/14,559.84 = 8,546.72/x
  3. Step 3: Cross multiply
    9,713.12x = 14,559.84 × 8,546.72
  4. Step 4: Simplify right side
    9,713.12x = 124,438,875.72
  5. Step 5: Solve for x
    x = 124,438,875.72/9,713.12
  6. Step 6: Final answer
    x = 12,811.42

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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.