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Finding the Fourth Proportional to 9,100.04, 13,640.81 and 6,904.17

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Solution

The fourth proportional to 9,100.04, 13,640.81 and 6,904.17 is: 10,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.04 : 13,640.81 = 6,904.17 : x
  2. Step 2: Convert to fraction form
    9,100.04/13,640.81 = 6,904.17/x
  3. Step 3: Cross multiply
    9,100.04x = 13,640.81 × 6,904.17
  4. Step 4: Simplify right side
    9,100.04x = 94,178,436.66
  5. Step 5: Solve for x
    x = 94,178,436.66/9,100.04
  6. Step 6: Final answer
    x = 10,349.24

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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.