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Finding the Fourth Proportional to 9,312.65, 12,847.82 and 5,331.63

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Solution

The fourth proportional to 9,312.65, 12,847.82 and 5,331.63 is: 7,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.65 : 12,847.82 = 5,331.63 : x
  2. Step 2: Convert to fraction form
    9,312.65/12,847.82 = 5,331.63/x
  3. Step 3: Cross multiply
    9,312.65x = 12,847.82 × 5,331.63
  4. Step 4: Simplify right side
    9,312.65x = 68,499,795.89
  5. Step 5: Solve for x
    x = 68,499,795.89/9,312.65
  6. Step 6: Final answer
    x = 7,355.57

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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.