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Finding the Fourth Proportional to 9,574.58, 14,366.32 and 3,729.62

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Solution

The fourth proportional to 9,574.58, 14,366.32 and 3,729.62 is: 5,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.58 : 14,366.32 = 3,729.62 : x
  2. Step 2: Convert to fraction form
    9,574.58/14,366.32 = 3,729.62/x
  3. Step 3: Cross multiply
    9,574.58x = 14,366.32 × 3,729.62
  4. Step 4: Simplify right side
    9,574.58x = 53,580,914.40
  5. Step 5: Solve for x
    x = 53,580,914.40/9,574.58
  6. Step 6: Final answer
    x = 5,596.16

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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.