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Finding the Fourth Proportional to 7,003.48, 9,664.50 and 3,859.72

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Solution

The fourth proportional to 7,003.48, 9,664.50 and 3,859.72 is: 5,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.48 : 9,664.50 = 3,859.72 : x
  2. Step 2: Convert to fraction form
    7,003.48/9,664.50 = 3,859.72/x
  3. Step 3: Cross multiply
    7,003.48x = 9,664.50 × 3,859.72
  4. Step 4: Simplify right side
    7,003.48x = 37,302,263.94
  5. Step 5: Solve for x
    x = 37,302,263.94/7,003.48
  6. Step 6: Final answer
    x = 5,326.25

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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.