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Finding the Fourth Proportional to 9,406.47, 12,970.28 and 5,998.93

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Solution

The fourth proportional to 9,406.47, 12,970.28 and 5,998.93 is: 8,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.47 : 12,970.28 = 5,998.93 : x
  2. Step 2: Convert to fraction form
    9,406.47/12,970.28 = 5,998.93/x
  3. Step 3: Cross multiply
    9,406.47x = 12,970.28 × 5,998.93
  4. Step 4: Simplify right side
    9,406.47x = 77,807,801.80
  5. Step 5: Solve for x
    x = 77,807,801.80/9,406.47
  6. Step 6: Final answer
    x = 8,271.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.