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Finding the Fourth Proportional to 9,357.84, 12,920.76 and 5,822.64

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Solution

The fourth proportional to 9,357.84, 12,920.76 and 5,822.64 is: 8,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.84 : 12,920.76 = 5,822.64 : x
  2. Step 2: Convert to fraction form
    9,357.84/12,920.76 = 5,822.64/x
  3. Step 3: Cross multiply
    9,357.84x = 12,920.76 × 5,822.64
  4. Step 4: Simplify right side
    9,357.84x = 75,232,934.01
  5. Step 5: Solve for x
    x = 75,232,934.01/9,357.84
  6. Step 6: Final answer
    x = 8,039.56

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Similar ratio
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1.5x scale

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.