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Finding the Fourth Proportional to 9,428.81, 13,010.31 and 5,449.16

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Solution

The fourth proportional to 9,428.81, 13,010.31 and 5,449.16 is: 7,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.81 : 13,010.31 = 5,449.16 : x
  2. Step 2: Convert to fraction form
    9,428.81/13,010.31 = 5,449.16/x
  3. Step 3: Cross multiply
    9,428.81x = 13,010.31 × 5,449.16
  4. Step 4: Simplify right side
    9,428.81x = 70,895,216.22
  5. Step 5: Solve for x
    x = 70,895,216.22/9,428.81
  6. Step 6: Final answer
    x = 7,519.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.