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Finding the Fourth Proportional to 9,642.16, 14,463.74 and 2,717.20

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Solution

The fourth proportional to 9,642.16, 14,463.74 and 2,717.20 is: 4,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.16 : 14,463.74 = 2,717.20 : x
  2. Step 2: Convert to fraction form
    9,642.16/14,463.74 = 2,717.20/x
  3. Step 3: Cross multiply
    9,642.16x = 14,463.74 × 2,717.20
  4. Step 4: Simplify right side
    9,642.16x = 39,300,874.33
  5. Step 5: Solve for x
    x = 39,300,874.33/9,642.16
  6. Step 6: Final answer
    x = 4,075.94

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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.