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Finding the Fourth Proportional to 6,859.34, 9,465.80 and 3,875.12

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Solution

The fourth proportional to 6,859.34, 9,465.80 and 3,875.12 is: 5,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.34 : 9,465.80 = 3,875.12 : x
  2. Step 2: Convert to fraction form
    6,859.34/9,465.80 = 3,875.12/x
  3. Step 3: Cross multiply
    6,859.34x = 9,465.80 × 3,875.12
  4. Step 4: Simplify right side
    6,859.34x = 36,681,110.90
  5. Step 5: Solve for x
    x = 36,681,110.90/6,859.34
  6. Step 6: Final answer
    x = 5,347.62

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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.