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Finding the Fourth Proportional to 9,474.66, 13,085.28 and 7,375.50

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Solution

The fourth proportional to 9,474.66, 13,085.28 and 7,375.50 is: 10,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.66 : 13,085.28 = 7,375.50 : x
  2. Step 2: Convert to fraction form
    9,474.66/13,085.28 = 7,375.50/x
  3. Step 3: Cross multiply
    9,474.66x = 13,085.28 × 7,375.50
  4. Step 4: Simplify right side
    9,474.66x = 96,510,482.64
  5. Step 5: Solve for x
    x = 96,510,482.64/9,474.66
  6. Step 6: Final answer
    x = 10,186.17

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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.