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Finding the Fourth Proportional to 9,892.61, 13,658.14 and 8,828.52

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Solution

The fourth proportional to 9,892.61, 13,658.14 and 8,828.52 is: 12,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.61 : 13,658.14 = 8,828.52 : x
  2. Step 2: Convert to fraction form
    9,892.61/13,658.14 = 8,828.52/x
  3. Step 3: Cross multiply
    9,892.61x = 13,658.14 × 8,828.52
  4. Step 4: Simplify right side
    9,892.61x = 120,581,185.21
  5. Step 5: Solve for x
    x = 120,581,185.21/9,892.61
  6. Step 6: Final answer
    x = 12,189.02

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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.