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Finding the Fourth Proportional to 9,443.63, 13,031.66 and 5,464.46

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Solution

The fourth proportional to 9,443.63, 13,031.66 and 5,464.46 is: 7,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.63 : 13,031.66 = 5,464.46 : x
  2. Step 2: Convert to fraction form
    9,443.63/13,031.66 = 5,464.46/x
  3. Step 3: Cross multiply
    9,443.63x = 13,031.66 × 5,464.46
  4. Step 4: Simplify right side
    9,443.63x = 71,210,957.48
  5. Step 5: Solve for x
    x = 71,210,957.48/9,443.63
  6. Step 6: Final answer
    x = 7,540.63

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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.