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Finding the Fourth Proportional to 9,355.74, 14,033.68 and 6,425.16

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Solution

The fourth proportional to 9,355.74, 14,033.68 and 6,425.16 is: 9,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.74 : 14,033.68 = 6,425.16 : x
  2. Step 2: Convert to fraction form
    9,355.74/14,033.68 = 6,425.16/x
  3. Step 3: Cross multiply
    9,355.74x = 14,033.68 × 6,425.16
  4. Step 4: Simplify right side
    9,355.74x = 90,168,639.39
  5. Step 5: Solve for x
    x = 90,168,639.39/9,355.74
  6. Step 6: Final answer
    x = 9,637.79

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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.