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Finding the Fourth Proportional to 9,354.16, 14,028.81 and 2,778.58

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Solution

The fourth proportional to 9,354.16, 14,028.81 and 2,778.58 is: 4,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.16 : 14,028.81 = 2,778.58 : x
  2. Step 2: Convert to fraction form
    9,354.16/14,028.81 = 2,778.58/x
  3. Step 3: Cross multiply
    9,354.16x = 14,028.81 × 2,778.58
  4. Step 4: Simplify right side
    9,354.16x = 38,980,170.89
  5. Step 5: Solve for x
    x = 38,980,170.89/9,354.16
  6. Step 6: Final answer
    x = 4,167.15

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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.