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Finding the Fourth Proportional to 9,098.64, 12,561.48 and 8,573.76

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Solution

The fourth proportional to 9,098.64, 12,561.48 and 8,573.76 is: 11,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.64 : 12,561.48 = 8,573.76 : x
  2. Step 2: Convert to fraction form
    9,098.64/12,561.48 = 8,573.76/x
  3. Step 3: Cross multiply
    9,098.64x = 12,561.48 × 8,573.76
  4. Step 4: Simplify right side
    9,098.64x = 107,699,114.76
  5. Step 5: Solve for x
    x = 107,699,114.76/9,098.64
  6. Step 6: Final answer
    x = 11,836.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.