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Finding the Fourth Proportional to 6,802.86, 9,387.63 and 4,007.82

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Solution

The fourth proportional to 6,802.86, 9,387.63 and 4,007.82 is: 5,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.86 : 9,387.63 = 4,007.82 : x
  2. Step 2: Convert to fraction form
    6,802.86/9,387.63 = 4,007.82/x
  3. Step 3: Cross multiply
    6,802.86x = 9,387.63 × 4,007.82
  4. Step 4: Simplify right side
    6,802.86x = 37,623,931.27
  5. Step 5: Solve for x
    x = 37,623,931.27/6,802.86
  6. Step 6: Final answer
    x = 5,530.60

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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.