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Finding the Fourth Proportional to 9,307.46, 13,961.16 and 2,287.50

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Solution

The fourth proportional to 9,307.46, 13,961.16 and 2,287.50 is: 3,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.46 : 13,961.16 = 2,287.50 : x
  2. Step 2: Convert to fraction form
    9,307.46/13,961.16 = 2,287.50/x
  3. Step 3: Cross multiply
    9,307.46x = 13,961.16 × 2,287.50
  4. Step 4: Simplify right side
    9,307.46x = 31,936,153.50
  5. Step 5: Solve for x
    x = 31,936,153.50/9,307.46
  6. Step 6: Final answer
    x = 3,431.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.