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Finding the Fourth Proportional to 6,786, 9,368.52 and 5,127.12

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Solution

The fourth proportional to 6,786, 9,368.52 and 5,127.12 is: 7,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786 : 9,368.52 = 5,127.12 : x
  2. Step 2: Convert to fraction form
    6,786/9,368.52 = 5,127.12/x
  3. Step 3: Cross multiply
    6,786x = 9,368.52 × 5,127.12
  4. Step 4: Simplify right side
    6,786x = 48,033,526.26
  5. Step 5: Solve for x
    x = 48,033,526.26/6,786
  6. Step 6: Final answer
    x = 7,078.33

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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.