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Finding the Fourth Proportional to 9,458.42, 13,058.06 and 6,553.35

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Solution

The fourth proportional to 9,458.42, 13,058.06 and 6,553.35 is: 9,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.42 : 13,058.06 = 6,553.35 : x
  2. Step 2: Convert to fraction form
    9,458.42/13,058.06 = 6,553.35/x
  3. Step 3: Cross multiply
    9,458.42x = 13,058.06 × 6,553.35
  4. Step 4: Simplify right side
    9,458.42x = 85,574,004.73
  5. Step 5: Solve for x
    x = 85,574,004.73/9,458.42
  6. Step 6: Final answer
    x = 9,047.39

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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.