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Finding the Fourth Proportional to 9,543.86, 14,300.23 and 4,857.43

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Solution

The fourth proportional to 9,543.86, 14,300.23 and 4,857.43 is: 7,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.86 : 14,300.23 = 4,857.43 : x
  2. Step 2: Convert to fraction form
    9,543.86/14,300.23 = 4,857.43/x
  3. Step 3: Cross multiply
    9,543.86x = 14,300.23 × 4,857.43
  4. Step 4: Simplify right side
    9,543.86x = 69,462,366.21
  5. Step 5: Solve for x
    x = 69,462,366.21/9,543.86
  6. Step 6: Final answer
    x = 7,278.23

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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.