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Finding the Fourth Proportional to 9,585.83, 14,380.16 and 4,908.48

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Solution

The fourth proportional to 9,585.83, 14,380.16 and 4,908.48 is: 7,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.83 : 14,380.16 = 4,908.48 : x
  2. Step 2: Convert to fraction form
    9,585.83/14,380.16 = 4,908.48/x
  3. Step 3: Cross multiply
    9,585.83x = 14,380.16 × 4,908.48
  4. Step 4: Simplify right side
    9,585.83x = 70,584,727.76
  5. Step 5: Solve for x
    x = 70,584,727.76/9,585.83
  6. Step 6: Final answer
    x = 7,363.44

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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.