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Finding the Fourth Proportional to 6,365.24, 9,547.86 and 3,287.48

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Solution

The fourth proportional to 6,365.24, 9,547.86 and 3,287.48 is: 4,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.24 : 9,547.86 = 3,287.48 : x
  2. Step 2: Convert to fraction form
    6,365.24/9,547.86 = 3,287.48/x
  3. Step 3: Cross multiply
    6,365.24x = 9,547.86 × 3,287.48
  4. Step 4: Simplify right side
    6,365.24x = 31,388,398.79
  5. Step 5: Solve for x
    x = 31,388,398.79/6,365.24
  6. Step 6: Final answer
    x = 4,931.22

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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.