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Finding the Fourth Proportional to 6,710.00, 9,263.16 and 4,193.51

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Solution

The fourth proportional to 6,710.00, 9,263.16 and 4,193.51 is: 5,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.00 : 9,263.16 = 4,193.51 : x
  2. Step 2: Convert to fraction form
    6,710.00/9,263.16 = 4,193.51/x
  3. Step 3: Cross multiply
    6,710.00x = 9,263.16 × 4,193.51
  4. Step 4: Simplify right side
    6,710.00x = 38,845,107.78
  5. Step 5: Solve for x
    x = 38,845,107.78/6,710.00
  6. Step 6: Final answer
    x = 5,789.14

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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.