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Finding the Fourth Proportional to 9,810.24, 14,713.44 and 2,883.12

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Solution

The fourth proportional to 9,810.24, 14,713.44 and 2,883.12 is: 4,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.24 : 14,713.44 = 2,883.12 : x
  2. Step 2: Convert to fraction form
    9,810.24/14,713.44 = 2,883.12/x
  3. Step 3: Cross multiply
    9,810.24x = 14,713.44 × 2,883.12
  4. Step 4: Simplify right side
    9,810.24x = 42,420,613.13
  5. Step 5: Solve for x
    x = 42,420,613.13/9,810.24
  6. Step 6: Final answer
    x = 4,324.12

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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.