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Finding the Fourth Proportional to 9,102.65, 13,649.76 and 4,723.17

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Solution

The fourth proportional to 9,102.65, 13,649.76 and 4,723.17 is: 7,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.65 : 13,649.76 = 4,723.17 : x
  2. Step 2: Convert to fraction form
    9,102.65/13,649.76 = 4,723.17/x
  3. Step 3: Cross multiply
    9,102.65x = 13,649.76 × 4,723.17
  4. Step 4: Simplify right side
    9,102.65x = 64,470,136.94
  5. Step 5: Solve for x
    x = 64,470,136.94/9,102.65
  6. Step 6: Final answer
    x = 7,082.57

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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.