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Finding the Fourth Proportional to 9,280, 12,809.28 and 5,968

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Solution

The fourth proportional to 9,280, 12,809.28 and 5,968 is: 8,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280 : 12,809.28 = 5,968 : x
  2. Step 2: Convert to fraction form
    9,280/12,809.28 = 5,968/x
  3. Step 3: Cross multiply
    9,280x = 12,809.28 × 5,968
  4. Step 4: Simplify right side
    9,280x = 76,445,783.04
  5. Step 5: Solve for x
    x = 76,445,783.04/9,280
  6. Step 6: Final answer
    x = 8,237.69

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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.