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Finding the Fourth Proportional to 9,643.05, 13,319.91 and 6,653.61

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Solution

The fourth proportional to 9,643.05, 13,319.91 and 6,653.61 is: 9,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.05 : 13,319.91 = 6,653.61 : x
  2. Step 2: Convert to fraction form
    9,643.05/13,319.91 = 6,653.61/x
  3. Step 3: Cross multiply
    9,643.05x = 13,319.91 × 6,653.61
  4. Step 4: Simplify right side
    9,643.05x = 88,625,486.38
  5. Step 5: Solve for x
    x = 88,625,486.38/9,643.05
  6. Step 6: Final answer
    x = 9,190.61

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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.