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Finding the Fourth Proportional to 9,807.80, 13,534.75 and 5,331.58

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Solution

The fourth proportional to 9,807.80, 13,534.75 and 5,331.58 is: 7,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.80 : 13,534.75 = 5,331.58 : x
  2. Step 2: Convert to fraction form
    9,807.80/13,534.75 = 5,331.58/x
  3. Step 3: Cross multiply
    9,807.80x = 13,534.75 × 5,331.58
  4. Step 4: Simplify right side
    9,807.80x = 72,161,640.41
  5. Step 5: Solve for x
    x = 72,161,640.41/9,807.80
  6. Step 6: Final answer
    x = 7,357.58

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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.