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Finding the Fourth Proportional to 9,718.56, 14,580.36 and 2,793.12

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Solution

The fourth proportional to 9,718.56, 14,580.36 and 2,793.12 is: 4,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.56 : 14,580.36 = 2,793.12 : x
  2. Step 2: Convert to fraction form
    9,718.56/14,580.36 = 2,793.12/x
  3. Step 3: Cross multiply
    9,718.56x = 14,580.36 × 2,793.12
  4. Step 4: Simplify right side
    9,718.56x = 40,724,695.12
  5. Step 5: Solve for x
    x = 40,724,695.12/9,718.56
  6. Step 6: Final answer
    x = 4,190.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.