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Finding the Fourth Proportional to 9,718.67, 14,580.16 and 2,792.63

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Solution

The fourth proportional to 9,718.67, 14,580.16 and 2,792.63 is: 4,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.67 : 14,580.16 = 2,792.63 : x
  2. Step 2: Convert to fraction form
    9,718.67/14,580.16 = 2,792.63/x
  3. Step 3: Cross multiply
    9,718.67x = 14,580.16 × 2,792.63
  4. Step 4: Simplify right side
    9,718.67x = 40,716,912.34
  5. Step 5: Solve for x
    x = 40,716,912.34/9,718.67
  6. Step 6: Final answer
    x = 4,189.56

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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.