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Finding the Fourth Proportional to 9,567.67, 14,343.76 and 2,990.47

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Solution

The fourth proportional to 9,567.67, 14,343.76 and 2,990.47 is: 4,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.67 : 14,343.76 = 2,990.47 : x
  2. Step 2: Convert to fraction form
    9,567.67/14,343.76 = 2,990.47/x
  3. Step 3: Cross multiply
    9,567.67x = 14,343.76 × 2,990.47
  4. Step 4: Simplify right side
    9,567.67x = 42,894,583.97
  5. Step 5: Solve for x
    x = 42,894,583.97/9,567.67
  6. Step 6: Final answer
    x = 4,483.28

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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.