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Finding the Fourth Proportional to 9,807.31, 13,532.29 and 5,829.40

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Solution

The fourth proportional to 9,807.31, 13,532.29 and 5,829.40 is: 8,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.31 : 13,532.29 = 5,829.40 : x
  2. Step 2: Convert to fraction form
    9,807.31/13,532.29 = 5,829.40/x
  3. Step 3: Cross multiply
    9,807.31x = 13,532.29 × 5,829.40
  4. Step 4: Simplify right side
    9,807.31x = 78,885,131.33
  5. Step 5: Solve for x
    x = 78,885,131.33/9,807.31
  6. Step 6: Final answer
    x = 8,043.50

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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.