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Finding the Fourth Proportional to 9,710.06, 13,366.83 and 7,187.42

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Solution

The fourth proportional to 9,710.06, 13,366.83 and 7,187.42 is: 9,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.06 : 13,366.83 = 7,187.42 : x
  2. Step 2: Convert to fraction form
    9,710.06/13,366.83 = 7,187.42/x
  3. Step 3: Cross multiply
    9,710.06x = 13,366.83 × 7,187.42
  4. Step 4: Simplify right side
    9,710.06x = 96,072,954.44
  5. Step 5: Solve for x
    x = 96,072,954.44/9,710.06
  6. Step 6: Final answer
    x = 9,894.17

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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.