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Finding the Fourth Proportional to 6,909.58, 9,527.69 and 4,667.56

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Solution

The fourth proportional to 6,909.58, 9,527.69 and 4,667.56 is: 6,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.58 : 9,527.69 = 4,667.56 : x
  2. Step 2: Convert to fraction form
    6,909.58/9,527.69 = 4,667.56/x
  3. Step 3: Cross multiply
    6,909.58x = 9,527.69 × 4,667.56
  4. Step 4: Simplify right side
    6,909.58x = 44,471,041.40
  5. Step 5: Solve for x
    x = 44,471,041.40/6,909.58
  6. Step 6: Final answer
    x = 6,436.15

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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.