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Finding the Fourth Proportional to 9,849.70, 14,748.13 and 7,865.91

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Solution

The fourth proportional to 9,849.70, 14,748.13 and 7,865.91 is: 11,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.70 : 14,748.13 = 7,865.91 : x
  2. Step 2: Convert to fraction form
    9,849.70/14,748.13 = 7,865.91/x
  3. Step 3: Cross multiply
    9,849.70x = 14,748.13 × 7,865.91
  4. Step 4: Simplify right side
    9,849.70x = 116,007,428.83
  5. Step 5: Solve for x
    x = 116,007,428.83/9,849.70
  6. Step 6: Final answer
    x = 11,777.76

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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.