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Finding the Fourth Proportional to 9,598.40, 13,245.60 and 5,349.47

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Solution

The fourth proportional to 9,598.40, 13,245.60 and 5,349.47 is: 7,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.40 : 13,245.60 = 5,349.47 : x
  2. Step 2: Convert to fraction form
    9,598.40/13,245.60 = 5,349.47/x
  3. Step 3: Cross multiply
    9,598.40x = 13,245.60 × 5,349.47
  4. Step 4: Simplify right side
    9,598.40x = 70,856,939.83
  5. Step 5: Solve for x
    x = 70,856,939.83/9,598.40
  6. Step 6: Final answer
    x = 7,382.16

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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.