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Finding the Fourth Proportional to 9,187.71, 13,763.49 and 6,058.16

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Solution

The fourth proportional to 9,187.71, 13,763.49 and 6,058.16 is: 9,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.71 : 13,763.49 = 6,058.16 : x
  2. Step 2: Convert to fraction form
    9,187.71/13,763.49 = 6,058.16/x
  3. Step 3: Cross multiply
    9,187.71x = 13,763.49 × 6,058.16
  4. Step 4: Simplify right side
    9,187.71x = 83,381,445.64
  5. Step 5: Solve for x
    x = 83,381,445.64/9,187.71
  6. Step 6: Final answer
    x = 9,075.33

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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.