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Finding the Fourth Proportional to 9,666.85, 14,497.18 and 3,091.47

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Solution

The fourth proportional to 9,666.85, 14,497.18 and 3,091.47 is: 4,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.85 : 14,497.18 = 3,091.47 : x
  2. Step 2: Convert to fraction form
    9,666.85/14,497.18 = 3,091.47/x
  3. Step 3: Cross multiply
    9,666.85x = 14,497.18 × 3,091.47
  4. Step 4: Simplify right side
    9,666.85x = 44,817,597.05
  5. Step 5: Solve for x
    x = 44,817,597.05/9,666.85
  6. Step 6: Final answer
    x = 4,636.22

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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.