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Finding the Fourth Proportional to 9,280.68, 12,807.99 and 5,302.38

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Solution

The fourth proportional to 9,280.68, 12,807.99 and 5,302.38 is: 7,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.68 : 12,807.99 = 5,302.38 : x
  2. Step 2: Convert to fraction form
    9,280.68/12,807.99 = 5,302.38/x
  3. Step 3: Cross multiply
    9,280.68x = 12,807.99 × 5,302.38
  4. Step 4: Simplify right side
    9,280.68x = 67,912,830.02
  5. Step 5: Solve for x
    x = 67,912,830.02/9,280.68
  6. Step 6: Final answer
    x = 7,317.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.