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Finding the Fourth Proportional to 10,406.17, 15,594.37 and 9,844.84

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Solution

The fourth proportional to 10,406.17, 15,594.37 and 9,844.84 is: 14,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.17 : 15,594.37 = 9,844.84 : x
  2. Step 2: Convert to fraction form
    10,406.17/15,594.37 = 9,844.84/x
  3. Step 3: Cross multiply
    10,406.17x = 15,594.37 × 9,844.84
  4. Step 4: Simplify right side
    10,406.17x = 153,524,127.81
  5. Step 5: Solve for x
    x = 153,524,127.81/10,406.17
  6. Step 6: Final answer
    x = 14,753.18

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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.