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Finding the Fourth Proportional to 7,085.09, 9,777.62 and 4,101.86

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Solution

The fourth proportional to 7,085.09, 9,777.62 and 4,101.86 is: 5,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.09 : 9,777.62 = 4,101.86 : x
  2. Step 2: Convert to fraction form
    7,085.09/9,777.62 = 4,101.86/x
  3. Step 3: Cross multiply
    7,085.09x = 9,777.62 × 4,101.86
  4. Step 4: Simplify right side
    7,085.09x = 40,106,389.74
  5. Step 5: Solve for x
    x = 40,106,389.74/7,085.09
  6. Step 6: Final answer
    x = 5,660.68

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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.