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Finding the Fourth Proportional to 6,307.46, 9,463.35 and 2,412.98

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Solution

The fourth proportional to 6,307.46, 9,463.35 and 2,412.98 is: 3,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.46 : 9,463.35 = 2,412.98 : x
  2. Step 2: Convert to fraction form
    6,307.46/9,463.35 = 2,412.98/x
  3. Step 3: Cross multiply
    6,307.46x = 9,463.35 × 2,412.98
  4. Step 4: Simplify right side
    6,307.46x = 22,834,874.28
  5. Step 5: Solve for x
    x = 22,834,874.28/6,307.46
  6. Step 6: Final answer
    x = 3,620.30

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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.