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Finding the Fourth Proportional to 9,543.69, 14,317.43 and 2,969.60

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Solution

The fourth proportional to 9,543.69, 14,317.43 and 2,969.60 is: 4,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.69 : 14,317.43 = 2,969.60 : x
  2. Step 2: Convert to fraction form
    9,543.69/14,317.43 = 2,969.60/x
  3. Step 3: Cross multiply
    9,543.69x = 14,317.43 × 2,969.60
  4. Step 4: Simplify right side
    9,543.69x = 42,516,953.69
  5. Step 5: Solve for x
    x = 42,516,953.69/9,543.69
  6. Step 6: Final answer
    x = 4,454.98

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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.