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Finding the Fourth Proportional to 9,775.32, 14,665.03 and 4,229.45

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Solution

The fourth proportional to 9,775.32, 14,665.03 and 4,229.45 is: 6,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.32 : 14,665.03 = 4,229.45 : x
  2. Step 2: Convert to fraction form
    9,775.32/14,665.03 = 4,229.45/x
  3. Step 3: Cross multiply
    9,775.32x = 14,665.03 × 4,229.45
  4. Step 4: Simplify right side
    9,775.32x = 62,025,076.70
  5. Step 5: Solve for x
    x = 62,025,076.70/9,775.32
  6. Step 6: Final answer
    x = 6,345.07

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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.