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Finding the Fourth Proportional to 6,846.76, 9,417.18 and 5,643.28

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Solution

The fourth proportional to 6,846.76, 9,417.18 and 5,643.28 is: 7,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.76 : 9,417.18 = 5,643.28 : x
  2. Step 2: Convert to fraction form
    6,846.76/9,417.18 = 5,643.28/x
  3. Step 3: Cross multiply
    6,846.76x = 9,417.18 × 5,643.28
  4. Step 4: Simplify right side
    6,846.76x = 53,143,783.55
  5. Step 5: Solve for x
    x = 53,143,783.55/6,846.76
  6. Step 6: Final answer
    x = 7,761.89

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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.