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Finding the Fourth Proportional to 9,814.28, 14,708.94 and 4,613

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Solution

The fourth proportional to 9,814.28, 14,708.94 and 4,613 is: 6,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.28 : 14,708.94 = 4,613 : x
  2. Step 2: Convert to fraction form
    9,814.28/14,708.94 = 4,613/x
  3. Step 3: Cross multiply
    9,814.28x = 14,708.94 × 4,613
  4. Step 4: Simplify right side
    9,814.28x = 67,852,340.22
  5. Step 5: Solve for x
    x = 67,852,340.22/9,814.28
  6. Step 6: Final answer
    x = 6,913.63

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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.