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Finding the Fourth Proportional to 6,536.42, 9,019.27 and 3,703.63

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Solution

The fourth proportional to 6,536.42, 9,019.27 and 3,703.63 is: 5,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.42 : 9,019.27 = 3,703.63 : x
  2. Step 2: Convert to fraction form
    6,536.42/9,019.27 = 3,703.63/x
  3. Step 3: Cross multiply
    6,536.42x = 9,019.27 × 3,703.63
  4. Step 4: Simplify right side
    6,536.42x = 33,404,038.95
  5. Step 5: Solve for x
    x = 33,404,038.95/6,536.42
  6. Step 6: Final answer
    x = 5,110.45

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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.