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Finding the Fourth Proportional to 10,444.14, 14,406.39 and 6,465.42

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Solution

The fourth proportional to 10,444.14, 14,406.39 and 6,465.42 is: 8,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.14 : 14,406.39 = 6,465.42 : x
  2. Step 2: Convert to fraction form
    10,444.14/14,406.39 = 6,465.42/x
  3. Step 3: Cross multiply
    10,444.14x = 14,406.39 × 6,465.42
  4. Step 4: Simplify right side
    10,444.14x = 93,143,362.03
  5. Step 5: Solve for x
    x = 93,143,362.03/10,444.14
  6. Step 6: Final answer
    x = 8,918.24

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Why These Related Problems?

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