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Finding the Fourth Proportional to 9,688.68, 14,543.26 and 4,499.56

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Solution

The fourth proportional to 9,688.68, 14,543.26 and 4,499.56 is: 6,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.68 : 14,543.26 = 4,499.56 : x
  2. Step 2: Convert to fraction form
    9,688.68/14,543.26 = 4,499.56/x
  3. Step 3: Cross multiply
    9,688.68x = 14,543.26 × 4,499.56
  4. Step 4: Simplify right side
    9,688.68x = 65,438,270.97
  5. Step 5: Solve for x
    x = 65,438,270.97/9,688.68
  6. Step 6: Final answer
    x = 6,754.10

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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.