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Finding the Fourth Proportional to 9,322.94, 13,976.04 and 3,475.58

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Solution

The fourth proportional to 9,322.94, 13,976.04 and 3,475.58 is: 5,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.94 : 13,976.04 = 3,475.58 : x
  2. Step 2: Convert to fraction form
    9,322.94/13,976.04 = 3,475.58/x
  3. Step 3: Cross multiply
    9,322.94x = 13,976.04 × 3,475.58
  4. Step 4: Simplify right side
    9,322.94x = 48,574,845.10
  5. Step 5: Solve for x
    x = 48,574,845.10/9,322.94
  6. Step 6: Final answer
    x = 5,210.25

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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.