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Finding the Fourth Proportional to 9,320.10, 13,980.15 and 3,164.10

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Solution

The fourth proportional to 9,320.10, 13,980.15 and 3,164.10 is: 4,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.10 : 13,980.15 = 3,164.10 : x
  2. Step 2: Convert to fraction form
    9,320.10/13,980.15 = 3,164.10/x
  3. Step 3: Cross multiply
    9,320.10x = 13,980.15 × 3,164.10
  4. Step 4: Simplify right side
    9,320.10x = 44,234,592.62
  5. Step 5: Solve for x
    x = 44,234,592.62/9,320.10
  6. Step 6: Final answer
    x = 4,746.15

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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.