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Finding the Fourth Proportional to 9,360.96, 12,920 and 5,384.80

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Solution

The fourth proportional to 9,360.96, 12,920 and 5,384.80 is: 7,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360.96 : 12,920 = 5,384.80 : x
  2. Step 2: Convert to fraction form
    9,360.96/12,920 = 5,384.80/x
  3. Step 3: Cross multiply
    9,360.96x = 12,920 × 5,384.80
  4. Step 4: Simplify right side
    9,360.96x = 69,571,616
  5. Step 5: Solve for x
    x = 69,571,616/9,360.96
  6. Step 6: Final answer
    x = 7,432.10

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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.