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Finding the Fourth Proportional to 9,474.58, 13,075.05 and 6,117.54

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Solution

The fourth proportional to 9,474.58, 13,075.05 and 6,117.54 is: 8,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.58 : 13,075.05 = 6,117.54 : x
  2. Step 2: Convert to fraction form
    9,474.58/13,075.05 = 6,117.54/x
  3. Step 3: Cross multiply
    9,474.58x = 13,075.05 × 6,117.54
  4. Step 4: Simplify right side
    9,474.58x = 79,987,141.38
  5. Step 5: Solve for x
    x = 79,987,141.38/9,474.58
  6. Step 6: Final answer
    x = 8,442.29

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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.