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Finding the Fourth Proportional to 9,281.52, 13,912.56 and 4,347

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Solution

The fourth proportional to 9,281.52, 13,912.56 and 4,347 is: 6,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.52 : 13,912.56 = 4,347 : x
  2. Step 2: Convert to fraction form
    9,281.52/13,912.56 = 4,347/x
  3. Step 3: Cross multiply
    9,281.52x = 13,912.56 × 4,347
  4. Step 4: Simplify right side
    9,281.52x = 60,477,898.32
  5. Step 5: Solve for x
    x = 60,477,898.32/9,281.52
  6. Step 6: Final answer
    x = 6,515.95

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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.