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Finding the Fourth Proportional to 9,665.93, 14,501.20 and 3,426.49

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Solution

The fourth proportional to 9,665.93, 14,501.20 and 3,426.49 is: 5,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.93 : 14,501.20 = 3,426.49 : x
  2. Step 2: Convert to fraction form
    9,665.93/14,501.20 = 3,426.49/x
  3. Step 3: Cross multiply
    9,665.93x = 14,501.20 × 3,426.49
  4. Step 4: Simplify right side
    9,665.93x = 49,688,127.15
  5. Step 5: Solve for x
    x = 49,688,127.15/9,665.93
  6. Step 6: Final answer
    x = 5,140.55

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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.