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Finding the Fourth Proportional to 9,709.42, 14,565.94 and 3,134.92

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Solution

The fourth proportional to 9,709.42, 14,565.94 and 3,134.92 is: 4,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.42 : 14,565.94 = 3,134.92 : x
  2. Step 2: Convert to fraction form
    9,709.42/14,565.94 = 3,134.92/x
  3. Step 3: Cross multiply
    9,709.42x = 14,565.94 × 3,134.92
  4. Step 4: Simplify right side
    9,709.42x = 45,663,056.62
  5. Step 5: Solve for x
    x = 45,663,056.62/9,709.42
  6. Step 6: Final answer
    x = 4,702.96

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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.