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Finding the Fourth Proportional to 9,574.64, 13,214.20 and 5,382.90

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Solution

The fourth proportional to 9,574.64, 13,214.20 and 5,382.90 is: 7,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.64 : 13,214.20 = 5,382.90 : x
  2. Step 2: Convert to fraction form
    9,574.64/13,214.20 = 5,382.90/x
  3. Step 3: Cross multiply
    9,574.64x = 13,214.20 × 5,382.90
  4. Step 4: Simplify right side
    9,574.64x = 71,130,717.18
  5. Step 5: Solve for x
    x = 71,130,717.18/9,574.64
  6. Step 6: Final answer
    x = 7,429.07

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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.