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Finding the Fourth Proportional to 9,464.83, 13,054.85 and 8,038.69

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Solution

The fourth proportional to 9,464.83, 13,054.85 and 8,038.69 is: 11,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.83 : 13,054.85 = 8,038.69 : x
  2. Step 2: Convert to fraction form
    9,464.83/13,054.85 = 8,038.69/x
  3. Step 3: Cross multiply
    9,464.83x = 13,054.85 × 8,038.69
  4. Step 4: Simplify right side
    9,464.83x = 104,943,851.95
  5. Step 5: Solve for x
    x = 104,943,851.95/9,464.83
  6. Step 6: Final answer
    x = 11,087.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.