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Finding the Fourth Proportional to 9,462.35, 13,058.04 and 5,485.76

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Solution

The fourth proportional to 9,462.35, 13,058.04 and 5,485.76 is: 7,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.35 : 13,058.04 = 5,485.76 : x
  2. Step 2: Convert to fraction form
    9,462.35/13,058.04 = 5,485.76/x
  3. Step 3: Cross multiply
    9,462.35x = 13,058.04 × 5,485.76
  4. Step 4: Simplify right side
    9,462.35x = 71,633,273.51
  5. Step 5: Solve for x
    x = 71,633,273.51/9,462.35
  6. Step 6: Final answer
    x = 7,570.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.