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Finding the Fourth Proportional to 9,210.92, 13,830.44 and 8,831.84

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Solution

The fourth proportional to 9,210.92, 13,830.44 and 8,831.84 is: 13,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.92 : 13,830.44 = 8,831.84 : x
  2. Step 2: Convert to fraction form
    9,210.92/13,830.44 = 8,831.84/x
  3. Step 3: Cross multiply
    9,210.92x = 13,830.44 × 8,831.84
  4. Step 4: Simplify right side
    9,210.92x = 122,148,233.21
  5. Step 5: Solve for x
    x = 122,148,233.21/9,210.92
  6. Step 6: Final answer
    x = 13,261.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.