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Finding the Fourth Proportional to 9,598.51, 13,247.02 and 5,349.96

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Solution

The fourth proportional to 9,598.51, 13,247.02 and 5,349.96 is: 7,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.51 : 13,247.02 = 5,349.96 : x
  2. Step 2: Convert to fraction form
    9,598.51/13,247.02 = 5,349.96/x
  3. Step 3: Cross multiply
    9,598.51x = 13,247.02 × 5,349.96
  4. Step 4: Simplify right side
    9,598.51x = 70,870,957.38
  5. Step 5: Solve for x
    x = 70,870,957.38/9,598.51
  6. Step 6: Final answer
    x = 7,383.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.