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Finding the Fourth Proportional to 7,224.64, 9,974.30 and 4,574.32

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Solution

The fourth proportional to 7,224.64, 9,974.30 and 4,574.32 is: 6,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.64 : 9,974.30 = 4,574.32 : x
  2. Step 2: Convert to fraction form
    7,224.64/9,974.30 = 4,574.32/x
  3. Step 3: Cross multiply
    7,224.64x = 9,974.30 × 4,574.32
  4. Step 4: Simplify right side
    7,224.64x = 45,625,639.98
  5. Step 5: Solve for x
    x = 45,625,639.98/7,224.64
  6. Step 6: Final answer
    x = 6,315.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.