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Finding the Fourth Proportional to 9,107.04, 13,650.83 and 6,502.08

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Solution

The fourth proportional to 9,107.04, 13,650.83 and 6,502.08 is: 9,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.04 : 13,650.83 = 6,502.08 : x
  2. Step 2: Convert to fraction form
    9,107.04/13,650.83 = 6,502.08/x
  3. Step 3: Cross multiply
    9,107.04x = 13,650.83 × 6,502.08
  4. Step 4: Simplify right side
    9,107.04x = 88,758,788.73
  5. Step 5: Solve for x
    x = 88,758,788.73/9,107.04
  6. Step 6: Final answer
    x = 9,746.17

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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.