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Finding the Fourth Proportional to 9,821.66, 13,557.84 and 6,679.76

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Solution

The fourth proportional to 9,821.66, 13,557.84 and 6,679.76 is: 9,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.66 : 13,557.84 = 6,679.76 : x
  2. Step 2: Convert to fraction form
    9,821.66/13,557.84 = 6,679.76/x
  3. Step 3: Cross multiply
    9,821.66x = 13,557.84 × 6,679.76
  4. Step 4: Simplify right side
    9,821.66x = 90,563,117.32
  5. Step 5: Solve for x
    x = 90,563,117.32/9,821.66
  6. Step 6: Final answer
    x = 9,220.75

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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.