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Finding the Fourth Proportional to 9,856.86, 14,784.33 and 2,931.42

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Solution

The fourth proportional to 9,856.86, 14,784.33 and 2,931.42 is: 4,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.86 : 14,784.33 = 2,931.42 : x
  2. Step 2: Convert to fraction form
    9,856.86/14,784.33 = 2,931.42/x
  3. Step 3: Cross multiply
    9,856.86x = 14,784.33 × 2,931.42
  4. Step 4: Simplify right side
    9,856.86x = 43,339,080.65
  5. Step 5: Solve for x
    x = 43,339,080.65/9,856.86
  6. Step 6: Final answer
    x = 4,396.84

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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.