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Finding the Fourth Proportional to 9,653.88, 14,480.64 and 4,110.96

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Solution

The fourth proportional to 9,653.88, 14,480.64 and 4,110.96 is: 6,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.88 : 14,480.64 = 4,110.96 : x
  2. Step 2: Convert to fraction form
    9,653.88/14,480.64 = 4,110.96/x
  3. Step 3: Cross multiply
    9,653.88x = 14,480.64 × 4,110.96
  4. Step 4: Simplify right side
    9,653.88x = 59,529,331.81
  5. Step 5: Solve for x
    x = 59,529,331.81/9,653.88
  6. Step 6: Final answer
    x = 6,166.36

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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.