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Finding the Fourth Proportional to 6,333.84, 9,501.12 and 2,871.36

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Solution

The fourth proportional to 6,333.84, 9,501.12 and 2,871.36 is: 4,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.84 : 9,501.12 = 2,871.36 : x
  2. Step 2: Convert to fraction form
    6,333.84/9,501.12 = 2,871.36/x
  3. Step 3: Cross multiply
    6,333.84x = 9,501.12 × 2,871.36
  4. Step 4: Simplify right side
    6,333.84x = 27,281,135.92
  5. Step 5: Solve for x
    x = 27,281,135.92/6,333.84
  6. Step 6: Final answer
    x = 4,307.20

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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.