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Finding the Fourth Proportional to 9,825.63, 14,722.02 and 4,270.65

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Solution

The fourth proportional to 9,825.63, 14,722.02 and 4,270.65 is: 6,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.63 : 14,722.02 = 4,270.65 : x
  2. Step 2: Convert to fraction form
    9,825.63/14,722.02 = 4,270.65/x
  3. Step 3: Cross multiply
    9,825.63x = 14,722.02 × 4,270.65
  4. Step 4: Simplify right side
    9,825.63x = 62,872,594.71
  5. Step 5: Solve for x
    x = 62,872,594.71/9,825.63
  6. Step 6: Final answer
    x = 6,398.84

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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.