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Finding the Fourth Proportional to 9,653.63, 13,324.46 and 5,464.31

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Solution

The fourth proportional to 9,653.63, 13,324.46 and 5,464.31 is: 7,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.63 : 13,324.46 = 5,464.31 : x
  2. Step 2: Convert to fraction form
    9,653.63/13,324.46 = 5,464.31/x
  3. Step 3: Cross multiply
    9,653.63x = 13,324.46 × 5,464.31
  4. Step 4: Simplify right side
    9,653.63x = 72,808,886.08
  5. Step 5: Solve for x
    x = 72,808,886.08/9,653.63
  6. Step 6: Final answer
    x = 7,542.13

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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.