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Finding the Fourth Proportional to 9,283.50, 13,890.36 and 6,515.58

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Solution

The fourth proportional to 9,283.50, 13,890.36 and 6,515.58 is: 9,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.50 : 13,890.36 = 6,515.58 : x
  2. Step 2: Convert to fraction form
    9,283.50/13,890.36 = 6,515.58/x
  3. Step 3: Cross multiply
    9,283.50x = 13,890.36 × 6,515.58
  4. Step 4: Simplify right side
    9,283.50x = 90,503,751.81
  5. Step 5: Solve for x
    x = 90,503,751.81/9,283.50
  6. Step 6: Final answer
    x = 9,748.88

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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.