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Finding the Fourth Proportional to 9,362.64, 12,922.92 and 5,823.84

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Solution

The fourth proportional to 9,362.64, 12,922.92 and 5,823.84 is: 8,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.64 : 12,922.92 = 5,823.84 : x
  2. Step 2: Convert to fraction form
    9,362.64/12,922.92 = 5,823.84/x
  3. Step 3: Cross multiply
    9,362.64x = 12,922.92 × 5,823.84
  4. Step 4: Simplify right side
    9,362.64x = 75,261,018.41
  5. Step 5: Solve for x
    x = 75,261,018.41/9,362.64
  6. Step 6: Final answer
    x = 8,038.44

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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.