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Finding the Fourth Proportional to 9,883.71, 14,825.61 and 2,864.16

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Solution

The fourth proportional to 9,883.71, 14,825.61 and 2,864.16 is: 4,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.71 : 14,825.61 = 2,864.16 : x
  2. Step 2: Convert to fraction form
    9,883.71/14,825.61 = 2,864.16/x
  3. Step 3: Cross multiply
    9,883.71x = 14,825.61 × 2,864.16
  4. Step 4: Simplify right side
    9,883.71x = 42,462,919.14
  5. Step 5: Solve for x
    x = 42,462,919.14/9,883.71
  6. Step 6: Final answer
    x = 4,296.25

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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.