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Finding the Fourth Proportional to 9,598.56, 14,397.88 and 3,358.54

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Solution

The fourth proportional to 9,598.56, 14,397.88 and 3,358.54 is: 5,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.56 : 14,397.88 = 3,358.54 : x
  2. Step 2: Convert to fraction form
    9,598.56/14,397.88 = 3,358.54/x
  3. Step 3: Cross multiply
    9,598.56x = 14,397.88 × 3,358.54
  4. Step 4: Simplify right side
    9,598.56x = 48,355,855.90
  5. Step 5: Solve for x
    x = 48,355,855.90/9,598.56
  6. Step 6: Final answer
    x = 5,037.82

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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.