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Finding the Fourth Proportional to 9,663.84, 13,336.74 and 5,415.24

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Solution

The fourth proportional to 9,663.84, 13,336.74 and 5,415.24 is: 7,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 13,336.74 = 5,415.24 : x
  2. Step 2: Convert to fraction form
    9,663.84/13,336.74 = 5,415.24/x
  3. Step 3: Cross multiply
    9,663.84x = 13,336.74 × 5,415.24
  4. Step 4: Simplify right side
    9,663.84x = 72,221,647.92
  5. Step 5: Solve for x
    x = 72,221,647.92/9,663.84
  6. Step 6: Final answer
    x = 7,473.39

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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.