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Finding the Fourth Proportional to 9,652.47, 14,480.43 and 3,416.10

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Solution

The fourth proportional to 9,652.47, 14,480.43 and 3,416.10 is: 5,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.47 : 14,480.43 = 3,416.10 : x
  2. Step 2: Convert to fraction form
    9,652.47/14,480.43 = 3,416.10/x
  3. Step 3: Cross multiply
    9,652.47x = 14,480.43 × 3,416.10
  4. Step 4: Simplify right side
    9,652.47x = 49,466,596.92
  5. Step 5: Solve for x
    x = 49,466,596.92/9,652.47
  6. Step 6: Final answer
    x = 5,124.76

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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.