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Finding the Fourth Proportional to 9,689.95, 14,536.14 and 4,755.43

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Solution

The fourth proportional to 9,689.95, 14,536.14 and 4,755.43 is: 7,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.95 : 14,536.14 = 4,755.43 : x
  2. Step 2: Convert to fraction form
    9,689.95/14,536.14 = 4,755.43/x
  3. Step 3: Cross multiply
    9,689.95x = 14,536.14 × 4,755.43
  4. Step 4: Simplify right side
    9,689.95x = 69,125,596.24
  5. Step 5: Solve for x
    x = 69,125,596.24/9,689.95
  6. Step 6: Final answer
    x = 7,133.74

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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.