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Finding the Fourth Proportional to 9,475.40, 13,076.02 and 5,498.84

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Solution

The fourth proportional to 9,475.40, 13,076.02 and 5,498.84 is: 7,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.40 : 13,076.02 = 5,498.84 : x
  2. Step 2: Convert to fraction form
    9,475.40/13,076.02 = 5,498.84/x
  3. Step 3: Cross multiply
    9,475.40x = 13,076.02 × 5,498.84
  4. Step 4: Simplify right side
    9,475.40x = 71,902,941.82
  5. Step 5: Solve for x
    x = 71,902,941.82/9,475.40
  6. Step 6: Final answer
    x = 7,588.38

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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.