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Finding the Fourth Proportional to 9,824.00, 13,468.71 and 9,646.31

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Solution

The fourth proportional to 9,824.00, 13,468.71 and 9,646.31 is: 13,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.00 : 13,468.71 = 9,646.31 : x
  2. Step 2: Convert to fraction form
    9,824.00/13,468.71 = 9,646.31/x
  3. Step 3: Cross multiply
    9,824.00x = 13,468.71 × 9,646.31
  4. Step 4: Simplify right side
    9,824.00x = 129,923,284.62
  5. Step 5: Solve for x
    x = 129,923,284.62/9,824.00
  6. Step 6: Final answer
    x = 13,225.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.