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Finding the Fourth Proportional to 9,814.30, 14,725.36 and 3,574.74

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Solution

The fourth proportional to 9,814.30, 14,725.36 and 3,574.74 is: 5,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.30 : 14,725.36 = 3,574.74 : x
  2. Step 2: Convert to fraction form
    9,814.30/14,725.36 = 3,574.74/x
  3. Step 3: Cross multiply
    9,814.30x = 14,725.36 × 3,574.74
  4. Step 4: Simplify right side
    9,814.30x = 52,639,333.41
  5. Step 5: Solve for x
    x = 52,639,333.41/9,814.30
  6. Step 6: Final answer
    x = 5,363.53

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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.