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Finding the Fourth Proportional to 9,713.52, 14,567.04 and 3,137.94

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Solution

The fourth proportional to 9,713.52, 14,567.04 and 3,137.94 is: 4,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.52 : 14,567.04 = 3,137.94 : x
  2. Step 2: Convert to fraction form
    9,713.52/14,567.04 = 3,137.94/x
  3. Step 3: Cross multiply
    9,713.52x = 14,567.04 × 3,137.94
  4. Step 4: Simplify right side
    9,713.52x = 45,710,497.50
  5. Step 5: Solve for x
    x = 45,710,497.50/9,713.52
  6. Step 6: Final answer
    x = 4,705.86

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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.