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Finding the Fourth Proportional to 9,260.98, 13,860.54 and 5,038.46

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Solution

The fourth proportional to 9,260.98, 13,860.54 and 5,038.46 is: 7,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.98 : 13,860.54 = 5,038.46 : x
  2. Step 2: Convert to fraction form
    9,260.98/13,860.54 = 5,038.46/x
  3. Step 3: Cross multiply
    9,260.98x = 13,860.54 × 5,038.46
  4. Step 4: Simplify right side
    9,260.98x = 69,835,776.37
  5. Step 5: Solve for x
    x = 69,835,776.37/9,260.98
  6. Step 6: Final answer
    x = 7,540.86

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