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Finding the Fourth Proportional to 9,807.94, 14,708.01 and 3,564.56

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Solution

The fourth proportional to 9,807.94, 14,708.01 and 3,564.56 is: 5,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.94 : 14,708.01 = 3,564.56 : x
  2. Step 2: Convert to fraction form
    9,807.94/14,708.01 = 3,564.56/x
  3. Step 3: Cross multiply
    9,807.94x = 14,708.01 × 3,564.56
  4. Step 4: Simplify right side
    9,807.94x = 52,427,584.13
  5. Step 5: Solve for x
    x = 52,427,584.13/9,807.94
  6. Step 6: Final answer
    x = 5,345.42

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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.