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Finding the Fourth Proportional to 9,652.55, 14,477.61 and 3,079.40

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Solution

The fourth proportional to 9,652.55, 14,477.61 and 3,079.40 is: 4,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.55 : 14,477.61 = 3,079.40 : x
  2. Step 2: Convert to fraction form
    9,652.55/14,477.61 = 3,079.40/x
  3. Step 3: Cross multiply
    9,652.55x = 14,477.61 × 3,079.40
  4. Step 4: Simplify right side
    9,652.55x = 44,582,352.23
  5. Step 5: Solve for x
    x = 44,582,352.23/9,652.55
  6. Step 6: Final answer
    x = 4,618.71

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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.