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Finding the Fourth Proportional to 9,688.17, 14,510.37 and 9,469.47

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Solution

The fourth proportional to 9,688.17, 14,510.37 and 9,469.47 is: 14,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.17 : 14,510.37 = 9,469.47 : x
  2. Step 2: Convert to fraction form
    9,688.17/14,510.37 = 9,469.47/x
  3. Step 3: Cross multiply
    9,688.17x = 14,510.37 × 9,469.47
  4. Step 4: Simplify right side
    9,688.17x = 137,405,513.40
  5. Step 5: Solve for x
    x = 137,405,513.40/9,688.17
  6. Step 6: Final answer
    x = 14,182.81

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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.