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Finding the Fourth Proportional to 9,058.54, 13,592.15 and 4,676.00

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Solution

The fourth proportional to 9,058.54, 13,592.15 and 4,676.00 is: 7,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,058.54 : 13,592.15 = 4,676.00 : x
  2. Step 2: Convert to fraction form
    9,058.54/13,592.15 = 4,676.00/x
  3. Step 3: Cross multiply
    9,058.54x = 13,592.15 × 4,676.00
  4. Step 4: Simplify right side
    9,058.54x = 63,556,837.13
  5. Step 5: Solve for x
    x = 63,556,837.13/9,058.54
  6. Step 6: Final answer
    x = 7,016.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.