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Finding the Fourth Proportional to 8,849.59, 12,202.40 and 6,828.44

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Solution

The fourth proportional to 8,849.59, 12,202.40 and 6,828.44 is: 9,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,849.59 : 12,202.40 = 6,828.44 : x
  2. Step 2: Convert to fraction form
    8,849.59/12,202.40 = 6,828.44/x
  3. Step 3: Cross multiply
    8,849.59x = 12,202.40 × 6,828.44
  4. Step 4: Simplify right side
    8,849.59x = 83,323,312.32
  5. Step 5: Solve for x
    x = 83,323,312.32/8,849.59
  6. Step 6: Final answer
    x = 9,415.50

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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.