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Finding the Fourth Proportional to 9,572.06, 14,273.63 and 8,406.87

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Solution

The fourth proportional to 9,572.06, 14,273.63 and 8,406.87 is: 12,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.06 : 14,273.63 = 8,406.87 : x
  2. Step 2: Convert to fraction form
    9,572.06/14,273.63 = 8,406.87/x
  3. Step 3: Cross multiply
    9,572.06x = 14,273.63 × 8,406.87
  4. Step 4: Simplify right side
    9,572.06x = 119,996,509.80
  5. Step 5: Solve for x
    x = 119,996,509.80/9,572.06
  6. Step 6: Final answer
    x = 12,536.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.