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Finding the Fourth Proportional to 9,663.63, 14,471.70 and 4,717.32

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Solution

The fourth proportional to 9,663.63, 14,471.70 and 4,717.32 is: 7,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.63 : 14,471.70 = 4,717.32 : x
  2. Step 2: Convert to fraction form
    9,663.63/14,471.70 = 4,717.32/x
  3. Step 3: Cross multiply
    9,663.63x = 14,471.70 × 4,717.32
  4. Step 4: Simplify right side
    9,663.63x = 68,267,639.84
  5. Step 5: Solve for x
    x = 68,267,639.84/9,663.63
  6. Step 6: Final answer
    x = 7,064.39

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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.