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Finding the Fourth Proportional to 9,815.34, 14,713.59 and 6,295.50

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Solution

The fourth proportional to 9,815.34, 14,713.59 and 6,295.50 is: 9,437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.34 : 14,713.59 = 6,295.50 : x
  2. Step 2: Convert to fraction form
    9,815.34/14,713.59 = 6,295.50/x
  3. Step 3: Cross multiply
    9,815.34x = 14,713.59 × 6,295.50
  4. Step 4: Simplify right side
    9,815.34x = 92,629,405.85
  5. Step 5: Solve for x
    x = 92,629,405.85/9,815.34
  6. Step 6: Final answer
    x = 9,437.21

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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.