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Finding the Fourth Proportional to 6,913, 9,536.65 and 4,675.66

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Solution

The fourth proportional to 6,913, 9,536.65 and 4,675.66 is: 6,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913 : 9,536.65 = 4,675.66 : x
  2. Step 2: Convert to fraction form
    6,913/9,536.65 = 4,675.66/x
  3. Step 3: Cross multiply
    6,913x = 9,536.65 × 4,675.66
  4. Step 4: Simplify right side
    6,913x = 44,590,132.94
  5. Step 5: Solve for x
    x = 44,590,132.94/6,913
  6. Step 6: Final answer
    x = 6,450.19

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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.