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Finding the Fourth Proportional to 34,704.16, 52,065.12 and 9,744.28

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Solution

The fourth proportional to 34,704.16, 52,065.12 and 9,744.28 is: 14,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704.16 : 52,065.12 = 9,744.28 : x
  2. Step 2: Convert to fraction form
    34,704.16/52,065.12 = 9,744.28/x
  3. Step 3: Cross multiply
    34,704.16x = 52,065.12 × 9,744.28
  4. Step 4: Simplify right side
    34,704.16x = 507,337,107.51
  5. Step 5: Solve for x
    x = 507,337,107.51/34,704.16
  6. Step 6: Final answer
    x = 14,618.91

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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.