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Finding the Fourth Proportional to 9,620.47, 14,432.18 and 4,073.84

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Solution

The fourth proportional to 9,620.47, 14,432.18 and 4,073.84 is: 6,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.47 : 14,432.18 = 4,073.84 : x
  2. Step 2: Convert to fraction form
    9,620.47/14,432.18 = 4,073.84/x
  3. Step 3: Cross multiply
    9,620.47x = 14,432.18 × 4,073.84
  4. Step 4: Simplify right side
    9,620.47x = 58,794,434.94
  5. Step 5: Solve for x
    x = 58,794,434.94/9,620.47
  6. Step 6: Final answer
    x = 6,111.39

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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.