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Finding the Fourth Proportional to 9,526.20, 14,248.80 and 8,546.10

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Solution

The fourth proportional to 9,526.20, 14,248.80 and 8,546.10 is: 12,782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.20 : 14,248.80 = 8,546.10 : x
  2. Step 2: Convert to fraction form
    9,526.20/14,248.80 = 8,546.10/x
  3. Step 3: Cross multiply
    9,526.20x = 14,248.80 × 8,546.10
  4. Step 4: Simplify right side
    9,526.20x = 121,771,669.68
  5. Step 5: Solve for x
    x = 121,771,669.68/9,526.20
  6. Step 6: Final answer
    x = 12,782.82

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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.