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Finding the Fourth Proportional to 9,038.90, 13,559.16 and 2,464.94

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Solution

The fourth proportional to 9,038.90, 13,559.16 and 2,464.94 is: 3,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.90 : 13,559.16 = 2,464.94 : x
  2. Step 2: Convert to fraction form
    9,038.90/13,559.16 = 2,464.94/x
  3. Step 3: Cross multiply
    9,038.90x = 13,559.16 × 2,464.94
  4. Step 4: Simplify right side
    9,038.90x = 33,422,515.85
  5. Step 5: Solve for x
    x = 33,422,515.85/9,038.90
  6. Step 6: Final answer
    x = 3,697.63

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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.