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Finding the Fourth Proportional to 9,320.80, 13,981.52 and 3,164

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Solution

The fourth proportional to 9,320.80, 13,981.52 and 3,164 is: 4,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.80 : 13,981.52 = 3,164 : x
  2. Step 2: Convert to fraction form
    9,320.80/13,981.52 = 3,164/x
  3. Step 3: Cross multiply
    9,320.80x = 13,981.52 × 3,164
  4. Step 4: Simplify right side
    9,320.80x = 44,237,529.28
  5. Step 5: Solve for x
    x = 44,237,529.28/9,320.80
  6. Step 6: Final answer
    x = 4,746.11

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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.