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Finding the Fourth Proportional to 9,037.14, 12,471.14 and 5,058.29

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Solution

The fourth proportional to 9,037.14, 12,471.14 and 5,058.29 is: 6,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.14 : 12,471.14 = 5,058.29 : x
  2. Step 2: Convert to fraction form
    9,037.14/12,471.14 = 5,058.29/x
  3. Step 3: Cross multiply
    9,037.14x = 12,471.14 × 5,058.29
  4. Step 4: Simplify right side
    9,037.14x = 63,082,642.75
  5. Step 5: Solve for x
    x = 63,082,642.75/9,037.14
  6. Step 6: Final answer
    x = 6,980.38

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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.