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Finding the Fourth Proportional to 9,666.54, 14,496.71 and 3,091.16

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Solution

The fourth proportional to 9,666.54, 14,496.71 and 3,091.16 is: 4,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.54 : 14,496.71 = 3,091.16 : x
  2. Step 2: Convert to fraction form
    9,666.54/14,496.71 = 3,091.16/x
  3. Step 3: Cross multiply
    9,666.54x = 14,496.71 × 3,091.16
  4. Step 4: Simplify right side
    9,666.54x = 44,811,577.60
  5. Step 5: Solve for x
    x = 44,811,577.60/9,666.54
  6. Step 6: Final answer
    x = 4,635.74

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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.