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Finding the Fourth Proportional to 7,100.09, 9,793.77 and 4,710.17

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Solution

The fourth proportional to 7,100.09, 9,793.77 and 4,710.17 is: 6,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.09 : 9,793.77 = 4,710.17 : x
  2. Step 2: Convert to fraction form
    7,100.09/9,793.77 = 4,710.17/x
  3. Step 3: Cross multiply
    7,100.09x = 9,793.77 × 4,710.17
  4. Step 4: Simplify right side
    7,100.09x = 46,130,321.64
  5. Step 5: Solve for x
    x = 46,130,321.64/7,100.09
  6. Step 6: Final answer
    x = 6,497.15

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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.