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Finding the Fourth Proportional to 7,032.32, 9,703.95 and 3,888.44

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Solution

The fourth proportional to 7,032.32, 9,703.95 and 3,888.44 is: 5,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.32 : 9,703.95 = 3,888.44 : x
  2. Step 2: Convert to fraction form
    7,032.32/9,703.95 = 3,888.44/x
  3. Step 3: Cross multiply
    7,032.32x = 9,703.95 × 3,888.44
  4. Step 4: Simplify right side
    7,032.32x = 37,733,227.34
  5. Step 5: Solve for x
    x = 37,733,227.34/7,032.32
  6. Step 6: Final answer
    x = 5,365.69

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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.