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Finding the Fourth Proportional to 9,685.69, 14,526.62 and 2,663.90

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Solution

The fourth proportional to 9,685.69, 14,526.62 and 2,663.90 is: 3,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.69 : 14,526.62 = 2,663.90 : x
  2. Step 2: Convert to fraction form
    9,685.69/14,526.62 = 2,663.90/x
  3. Step 3: Cross multiply
    9,685.69x = 14,526.62 × 2,663.90
  4. Step 4: Simplify right side
    9,685.69x = 38,697,441.53
  5. Step 5: Solve for x
    x = 38,697,441.53/9,685.69
  6. Step 6: Final answer
    x = 3,995.32

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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.