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Finding the Fourth Proportional to 9,850.35, 14,775.74 and 4,002.93

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Solution

The fourth proportional to 9,850.35, 14,775.74 and 4,002.93 is: 6,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.35 : 14,775.74 = 4,002.93 : x
  2. Step 2: Convert to fraction form
    9,850.35/14,775.74 = 4,002.93/x
  3. Step 3: Cross multiply
    9,850.35x = 14,775.74 × 4,002.93
  4. Step 4: Simplify right side
    9,850.35x = 59,146,232.90
  5. Step 5: Solve for x
    x = 59,146,232.90/9,850.35
  6. Step 6: Final answer
    x = 6,004.48

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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.