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Finding the Fourth Proportional to 9,543.94, 14,317.74 and 2,969.89

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Solution

The fourth proportional to 9,543.94, 14,317.74 and 2,969.89 is: 4,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.94 : 14,317.74 = 2,969.89 : x
  2. Step 2: Convert to fraction form
    9,543.94/14,317.74 = 2,969.89/x
  3. Step 3: Cross multiply
    9,543.94x = 14,317.74 × 2,969.89
  4. Step 4: Simplify right side
    9,543.94x = 42,522,112.85
  5. Step 5: Solve for x
    x = 42,522,112.85/9,543.94
  6. Step 6: Final answer
    x = 4,455.40

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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.