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Finding the Fourth Proportional to 6,667.76, 9,995.45 and 2,284.17

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Solution

The fourth proportional to 6,667.76, 9,995.45 and 2,284.17 is: 3,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.76 : 9,995.45 = 2,284.17 : x
  2. Step 2: Convert to fraction form
    6,667.76/9,995.45 = 2,284.17/x
  3. Step 3: Cross multiply
    6,667.76x = 9,995.45 × 2,284.17
  4. Step 4: Simplify right side
    6,667.76x = 22,831,307.03
  5. Step 5: Solve for x
    x = 22,831,307.03/6,667.76
  6. Step 6: Final answer
    x = 3,424.14

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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.