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Finding the Fourth Proportional to 9,663.60, 14,497.26 and 4,116.84

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Solution

The fourth proportional to 9,663.60, 14,497.26 and 4,116.84 is: 6,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.60 : 14,497.26 = 4,116.84 : x
  2. Step 2: Convert to fraction form
    9,663.60/14,497.26 = 4,116.84/x
  3. Step 3: Cross multiply
    9,663.60x = 14,497.26 × 4,116.84
  4. Step 4: Simplify right side
    9,663.60x = 59,682,899.86
  5. Step 5: Solve for x
    x = 59,682,899.86/9,663.60
  6. Step 6: Final answer
    x = 6,176.05

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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.