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Finding the Fourth Proportional to 9,574.94, 14,359.62 and 3,730.16

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Solution

The fourth proportional to 9,574.94, 14,359.62 and 3,730.16 is: 5,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.94 : 14,359.62 = 3,730.16 : x
  2. Step 2: Convert to fraction form
    9,574.94/14,359.62 = 3,730.16/x
  3. Step 3: Cross multiply
    9,574.94x = 14,359.62 × 3,730.16
  4. Step 4: Simplify right side
    9,574.94x = 53,563,680.14
  5. Step 5: Solve for x
    x = 53,563,680.14/9,574.94
  6. Step 6: Final answer
    x = 5,594.15

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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.