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Finding the Fourth Proportional to 9,812.88, 14,719.33 and 2,417.49

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Solution

The fourth proportional to 9,812.88, 14,719.33 and 2,417.49 is: 3,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.88 : 14,719.33 = 2,417.49 : x
  2. Step 2: Convert to fraction form
    9,812.88/14,719.33 = 2,417.49/x
  3. Step 3: Cross multiply
    9,812.88x = 14,719.33 × 2,417.49
  4. Step 4: Simplify right side
    9,812.88x = 35,583,747.40
  5. Step 5: Solve for x
    x = 35,583,747.40/9,812.88
  6. Step 6: Final answer
    x = 3,626.23

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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.