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Finding the Fourth Proportional to 9,270.04, 12,783.06 and 6,440.62

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Solution

The fourth proportional to 9,270.04, 12,783.06 and 6,440.62 is: 8,881.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.04 : 12,783.06 = 6,440.62 : x
  2. Step 2: Convert to fraction form
    9,270.04/12,783.06 = 6,440.62/x
  3. Step 3: Cross multiply
    9,270.04x = 12,783.06 × 6,440.62
  4. Step 4: Simplify right side
    9,270.04x = 82,330,831.90
  5. Step 5: Solve for x
    x = 82,330,831.90/9,270.04
  6. Step 6: Final answer
    x = 8,881.39

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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.