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Finding the Fourth Proportional to 9,320.20, 13,980.30 and 3,164.20

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Solution

The fourth proportional to 9,320.20, 13,980.30 and 3,164.20 is: 4,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.20 : 13,980.30 = 3,164.20 : x
  2. Step 2: Convert to fraction form
    9,320.20/13,980.30 = 3,164.20/x
  3. Step 3: Cross multiply
    9,320.20x = 13,980.30 × 3,164.20
  4. Step 4: Simplify right side
    9,320.20x = 44,236,465.26
  5. Step 5: Solve for x
    x = 44,236,465.26/9,320.20
  6. Step 6: Final answer
    x = 4,746.30

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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.