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Finding the Fourth Proportional to 9,416.82, 13,000.05 and 6,634.74

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Solution

The fourth proportional to 9,416.82, 13,000.05 and 6,634.74 is: 9,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.82 : 13,000.05 = 6,634.74 : x
  2. Step 2: Convert to fraction form
    9,416.82/13,000.05 = 6,634.74/x
  3. Step 3: Cross multiply
    9,416.82x = 13,000.05 × 6,634.74
  4. Step 4: Simplify right side
    9,416.82x = 86,251,951.74
  5. Step 5: Solve for x
    x = 86,251,951.74/9,416.82
  6. Step 6: Final answer
    x = 9,159.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.