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Finding the Fourth Proportional to 9,700.47, 14,550.75 and 3,126.96

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Solution

The fourth proportional to 9,700.47, 14,550.75 and 3,126.96 is: 4,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.47 : 14,550.75 = 3,126.96 : x
  2. Step 2: Convert to fraction form
    9,700.47/14,550.75 = 3,126.96/x
  3. Step 3: Cross multiply
    9,700.47x = 14,550.75 × 3,126.96
  4. Step 4: Simplify right side
    9,700.47x = 45,499,613.22
  5. Step 5: Solve for x
    x = 45,499,613.22/9,700.47
  6. Step 6: Final answer
    x = 4,690.45

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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.