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Finding the Fourth Proportional to 9,250.40, 12,765.29 and 5,058.38

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Solution

The fourth proportional to 9,250.40, 12,765.29 and 5,058.38 is: 6,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.40 : 12,765.29 = 5,058.38 : x
  2. Step 2: Convert to fraction form
    9,250.40/12,765.29 = 5,058.38/x
  3. Step 3: Cross multiply
    9,250.40x = 12,765.29 × 5,058.38
  4. Step 4: Simplify right side
    9,250.40x = 64,571,598.51
  5. Step 5: Solve for x
    x = 64,571,598.51/9,250.40
  6. Step 6: Final answer
    x = 6,980.42

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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.