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Finding the Fourth Proportional to 9,663.30, 14,496.30 and 4,116.60

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Solution

The fourth proportional to 9,663.30, 14,496.30 and 4,116.60 is: 6,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.30 : 14,496.30 = 4,116.60 : x
  2. Step 2: Convert to fraction form
    9,663.30/14,496.30 = 4,116.60/x
  3. Step 3: Cross multiply
    9,663.30x = 14,496.30 × 4,116.60
  4. Step 4: Simplify right side
    9,663.30x = 59,675,468.58
  5. Step 5: Solve for x
    x = 59,675,468.58/9,663.30
  6. Step 6: Final answer
    x = 6,175.48

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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.