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Finding the Fourth Proportional to 9,662.66, 14,496.75 and 4,733.74

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Solution

The fourth proportional to 9,662.66, 14,496.75 and 4,733.74 is: 7,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.66 : 14,496.75 = 4,733.74 : x
  2. Step 2: Convert to fraction form
    9,662.66/14,496.75 = 4,733.74/x
  3. Step 3: Cross multiply
    9,662.66x = 14,496.75 × 4,733.74
  4. Step 4: Simplify right side
    9,662.66x = 68,623,809.10
  5. Step 5: Solve for x
    x = 68,623,809.10/9,662.66
  6. Step 6: Final answer
    x = 7,101.96

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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.