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Finding the Fourth Proportional to 9,283.34, 13,927.07 and 4,605.90

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Solution

The fourth proportional to 9,283.34, 13,927.07 and 4,605.90 is: 6,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.34 : 13,927.07 = 4,605.90 : x
  2. Step 2: Convert to fraction form
    9,283.34/13,927.07 = 4,605.90/x
  3. Step 3: Cross multiply
    9,283.34x = 13,927.07 × 4,605.90
  4. Step 4: Simplify right side
    9,283.34x = 64,146,668.68
  5. Step 5: Solve for x
    x = 64,146,668.68/9,283.34
  6. Step 6: Final answer
    x = 6,909.87

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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.