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Finding the Fourth Proportional to 6,083.32, 9,123.93 and 1,699.74

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Solution

The fourth proportional to 6,083.32, 9,123.93 and 1,699.74 is: 2,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.32 : 9,123.93 = 1,699.74 : x
  2. Step 2: Convert to fraction form
    6,083.32/9,123.93 = 1,699.74/x
  3. Step 3: Cross multiply
    6,083.32x = 9,123.93 × 1,699.74
  4. Step 4: Simplify right side
    6,083.32x = 15,508,263.16
  5. Step 5: Solve for x
    x = 15,508,263.16/6,083.32
  6. Step 6: Final answer
    x = 2,549.31

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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.