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Finding the Fourth Proportional to 9,851.34, 14,773.14 and 4,300.78

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Solution

The fourth proportional to 9,851.34, 14,773.14 and 4,300.78 is: 6,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.34 : 14,773.14 = 4,300.78 : x
  2. Step 2: Convert to fraction form
    9,851.34/14,773.14 = 4,300.78/x
  3. Step 3: Cross multiply
    9,851.34x = 14,773.14 × 4,300.78
  4. Step 4: Simplify right side
    9,851.34x = 63,536,025.05
  5. Step 5: Solve for x
    x = 63,536,025.05/9,851.34
  6. Step 6: Final answer
    x = 6,449.48

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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.