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Finding the Fourth Proportional to 9,807.31, 13,532.56 and 5,828.32

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Solution

The fourth proportional to 9,807.31, 13,532.56 and 5,828.32 is: 8,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.31 : 13,532.56 = 5,828.32 : x
  2. Step 2: Convert to fraction form
    9,807.31/13,532.56 = 5,828.32/x
  3. Step 3: Cross multiply
    9,807.31x = 13,532.56 × 5,828.32
  4. Step 4: Simplify right side
    9,807.31x = 78,872,090.10
  5. Step 5: Solve for x
    x = 78,872,090.10/9,807.31
  6. Step 6: Final answer
    x = 8,042.17

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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.