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Finding the Fourth Proportional to 9,663.82, 14,497.08 and 3,087.76

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Solution

The fourth proportional to 9,663.82, 14,497.08 and 3,087.76 is: 4,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.82 : 14,497.08 = 3,087.76 : x
  2. Step 2: Convert to fraction form
    9,663.82/14,497.08 = 3,087.76/x
  3. Step 3: Cross multiply
    9,663.82x = 14,497.08 × 3,087.76
  4. Step 4: Simplify right side
    9,663.82x = 44,763,503.74
  5. Step 5: Solve for x
    x = 44,763,503.74/9,663.82
  6. Step 6: Final answer
    x = 4,632.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.