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Finding the Fourth Proportional to 9,307.51, 13,961.46 and 3,462.95

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Solution

The fourth proportional to 9,307.51, 13,961.46 and 3,462.95 is: 5,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.51 : 13,961.46 = 3,462.95 : x
  2. Step 2: Convert to fraction form
    9,307.51/13,961.46 = 3,462.95/x
  3. Step 3: Cross multiply
    9,307.51x = 13,961.46 × 3,462.95
  4. Step 4: Simplify right side
    9,307.51x = 48,347,885.80
  5. Step 5: Solve for x
    x = 48,347,885.80/9,307.51
  6. Step 6: Final answer
    x = 5,194.50

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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.