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Finding the Fourth Proportional to 6,295.34, 9,437.54 and 3,692.81

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Solution

The fourth proportional to 6,295.34, 9,437.54 and 3,692.81 is: 5,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.34 : 9,437.54 = 3,692.81 : x
  2. Step 2: Convert to fraction form
    6,295.34/9,437.54 = 3,692.81/x
  3. Step 3: Cross multiply
    6,295.34x = 9,437.54 × 3,692.81
  4. Step 4: Simplify right side
    6,295.34x = 34,851,047.22
  5. Step 5: Solve for x
    x = 34,851,047.22/6,295.34
  6. Step 6: Final answer
    x = 5,536.00

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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.