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Finding the Fourth Proportional to 6,239.68, 9,357.66 and 5,141.32

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Solution

The fourth proportional to 6,239.68, 9,357.66 and 5,141.32 is: 7,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.68 : 9,357.66 = 5,141.32 : x
  2. Step 2: Convert to fraction form
    6,239.68/9,357.66 = 5,141.32/x
  3. Step 3: Cross multiply
    6,239.68x = 9,357.66 × 5,141.32
  4. Step 4: Simplify right side
    6,239.68x = 48,110,724.51
  5. Step 5: Solve for x
    x = 48,110,724.51/6,239.68
  6. Step 6: Final answer
    x = 7,710.45

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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.