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Finding the Fourth Proportional to 9,700.39, 14,550.59 and 3,126.56

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Solution

The fourth proportional to 9,700.39, 14,550.59 and 3,126.56 is: 4,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.39 : 14,550.59 = 3,126.56 : x
  2. Step 2: Convert to fraction form
    9,700.39/14,550.59 = 3,126.56/x
  3. Step 3: Cross multiply
    9,700.39x = 14,550.59 × 3,126.56
  4. Step 4: Simplify right side
    9,700.39x = 45,493,292.67
  5. Step 5: Solve for x
    x = 45,493,292.67/9,700.39
  6. Step 6: Final answer
    x = 4,689.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.