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Finding the Fourth Proportional to 9,463.57, 13,058.48 and 5,634.63

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Solution

The fourth proportional to 9,463.57, 13,058.48 and 5,634.63 is: 7,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.57 : 13,058.48 = 5,634.63 : x
  2. Step 2: Convert to fraction form
    9,463.57/13,058.48 = 5,634.63/x
  3. Step 3: Cross multiply
    9,463.57x = 13,058.48 × 5,634.63
  4. Step 4: Simplify right side
    9,463.57x = 73,579,717.25
  5. Step 5: Solve for x
    x = 73,579,717.25/9,463.57
  6. Step 6: Final answer
    x = 7,775.05

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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.