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Finding the Fourth Proportional to 9,358.92, 12,914.98 and 5,632.20

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Solution

The fourth proportional to 9,358.92, 12,914.98 and 5,632.20 is: 7,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.92 : 12,914.98 = 5,632.20 : x
  2. Step 2: Convert to fraction form
    9,358.92/12,914.98 = 5,632.20/x
  3. Step 3: Cross multiply
    9,358.92x = 12,914.98 × 5,632.20
  4. Step 4: Simplify right side
    9,358.92x = 72,739,750.36
  5. Step 5: Solve for x
    x = 72,739,750.36/9,358.92
  6. Step 6: Final answer
    x = 7,772.24

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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.