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Finding the Fourth Proportional to 9,652.10, 14,468.90 and 3,074.02

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Solution

The fourth proportional to 9,652.10, 14,468.90 and 3,074.02 is: 4,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.10 : 14,468.90 = 3,074.02 : x
  2. Step 2: Convert to fraction form
    9,652.10/14,468.90 = 3,074.02/x
  3. Step 3: Cross multiply
    9,652.10x = 14,468.90 × 3,074.02
  4. Step 4: Simplify right side
    9,652.10x = 44,477,636.44
  5. Step 5: Solve for x
    x = 44,477,636.44/9,652.10
  6. Step 6: Final answer
    x = 4,608.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.