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Finding the Fourth Proportional to 9,570.88, 13,204.13 and 7,058.94

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Solution

The fourth proportional to 9,570.88, 13,204.13 and 7,058.94 is: 9,738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.88 : 13,204.13 = 7,058.94 : x
  2. Step 2: Convert to fraction form
    9,570.88/13,204.13 = 7,058.94/x
  3. Step 3: Cross multiply
    9,570.88x = 13,204.13 × 7,058.94
  4. Step 4: Simplify right side
    9,570.88x = 93,207,161.42
  5. Step 5: Solve for x
    x = 93,207,161.42/9,570.88
  6. Step 6: Final answer
    x = 9,738.62

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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.