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Finding the Fourth Proportional to 9,902.90, 14,849.01 and 4,349.85

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Solution

The fourth proportional to 9,902.90, 14,849.01 and 4,349.85 is: 6,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.90 : 14,849.01 = 4,349.85 : x
  2. Step 2: Convert to fraction form
    9,902.90/14,849.01 = 4,349.85/x
  3. Step 3: Cross multiply
    9,902.90x = 14,849.01 × 4,349.85
  4. Step 4: Simplify right side
    9,902.90x = 64,590,966.15
  5. Step 5: Solve for x
    x = 64,590,966.15/9,902.90
  6. Step 6: Final answer
    x = 6,522.43

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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.