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Finding the Fourth Proportional to 9,652.20, 14,480.01 and 3,077.70

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Solution

The fourth proportional to 9,652.20, 14,480.01 and 3,077.70 is: 4,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.20 : 14,480.01 = 3,077.70 : x
  2. Step 2: Convert to fraction form
    9,652.20/14,480.01 = 3,077.70/x
  3. Step 3: Cross multiply
    9,652.20x = 14,480.01 × 3,077.70
  4. Step 4: Simplify right side
    9,652.20x = 44,565,126.78
  5. Step 5: Solve for x
    x = 44,565,126.78/9,652.20
  6. Step 6: Final answer
    x = 4,617.10

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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.