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Finding the Fourth Proportional to 9,406.10, 12,977.14 and 7,164.42

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Solution

The fourth proportional to 9,406.10, 12,977.14 and 7,164.42 is: 9,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.10 : 12,977.14 = 7,164.42 : x
  2. Step 2: Convert to fraction form
    9,406.10/12,977.14 = 7,164.42/x
  3. Step 3: Cross multiply
    9,406.10x = 12,977.14 × 7,164.42
  4. Step 4: Simplify right side
    9,406.10x = 92,973,681.36
  5. Step 5: Solve for x
    x = 92,973,681.36/9,406.10
  6. Step 6: Final answer
    x = 9,884.40

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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.