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Finding the Fourth Proportional to 9,835.02, 14,744.78 and 4,902.12

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Solution

The fourth proportional to 9,835.02, 14,744.78 and 4,902.12 is: 7,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.02 : 14,744.78 = 4,902.12 : x
  2. Step 2: Convert to fraction form
    9,835.02/14,744.78 = 4,902.12/x
  3. Step 3: Cross multiply
    9,835.02x = 14,744.78 × 4,902.12
  4. Step 4: Simplify right side
    9,835.02x = 72,280,582.70
  5. Step 5: Solve for x
    x = 72,280,582.70/9,835.02
  6. Step 6: Final answer
    x = 7,349.31

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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.