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Finding the Fourth Proportional to 9,462.51, 13,058.55 and 5,213.84

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Solution

The fourth proportional to 9,462.51, 13,058.55 and 5,213.84 is: 7,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.51 : 13,058.55 = 5,213.84 : x
  2. Step 2: Convert to fraction form
    9,462.51/13,058.55 = 5,213.84/x
  3. Step 3: Cross multiply
    9,462.51x = 13,058.55 × 5,213.84
  4. Step 4: Simplify right side
    9,462.51x = 68,085,125.04
  5. Step 5: Solve for x
    x = 68,085,125.04/9,462.51
  6. Step 6: Final answer
    x = 7,195.25

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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.