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Finding the Fourth Proportional to 9,768.87, 14,663.48 and 4,842.04

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Solution

The fourth proportional to 9,768.87, 14,663.48 and 4,842.04 is: 7,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.87 : 14,663.48 = 4,842.04 : x
  2. Step 2: Convert to fraction form
    9,768.87/14,663.48 = 4,842.04/x
  3. Step 3: Cross multiply
    9,768.87x = 14,663.48 × 4,842.04
  4. Step 4: Simplify right side
    9,768.87x = 71,001,156.70
  5. Step 5: Solve for x
    x = 71,001,156.70/9,768.87
  6. Step 6: Final answer
    x = 7,268.10

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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.