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Finding the Fourth Proportional to 6,524.90, 9,787.35 and 3,014.90

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Solution

The fourth proportional to 6,524.90, 9,787.35 and 3,014.90 is: 4,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.90 : 9,787.35 = 3,014.90 : x
  2. Step 2: Convert to fraction form
    6,524.90/9,787.35 = 3,014.90/x
  3. Step 3: Cross multiply
    6,524.90x = 9,787.35 × 3,014.90
  4. Step 4: Simplify right side
    6,524.90x = 29,507,881.52
  5. Step 5: Solve for x
    x = 29,507,881.52/6,524.90
  6. Step 6: Final answer
    x = 4,522.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.