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Finding the Fourth Proportional to 6,427.84, 8,870.34 and 3,633.16

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Solution

The fourth proportional to 6,427.84, 8,870.34 and 3,633.16 is: 5,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.84 : 8,870.34 = 3,633.16 : x
  2. Step 2: Convert to fraction form
    6,427.84/8,870.34 = 3,633.16/x
  3. Step 3: Cross multiply
    6,427.84x = 8,870.34 × 3,633.16
  4. Step 4: Simplify right side
    6,427.84x = 32,227,364.47
  5. Step 5: Solve for x
    x = 32,227,364.47/6,427.84
  6. Step 6: Final answer
    x = 5,013.72

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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.