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Finding the Fourth Proportional to 6,909.08, 9,527.00 and 4,667.06

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Solution

The fourth proportional to 6,909.08, 9,527.00 and 4,667.06 is: 6,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.08 : 9,527.00 = 4,667.06 : x
  2. Step 2: Convert to fraction form
    6,909.08/9,527.00 = 4,667.06/x
  3. Step 3: Cross multiply
    6,909.08x = 9,527.00 × 4,667.06
  4. Step 4: Simplify right side
    6,909.08x = 44,463,045.38
  5. Step 5: Solve for x
    x = 44,463,045.38/6,909.08
  6. Step 6: Final answer
    x = 6,435.46

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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.