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Finding the Fourth Proportional to 6,859.51, 9,465.57 and 3,875.63

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Solution

The fourth proportional to 6,859.51, 9,465.57 and 3,875.63 is: 5,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.51 : 9,465.57 = 3,875.63 : x
  2. Step 2: Convert to fraction form
    6,859.51/9,465.57 = 3,875.63/x
  3. Step 3: Cross multiply
    6,859.51x = 9,465.57 × 3,875.63
  4. Step 4: Simplify right side
    6,859.51x = 36,684,999.73
  5. Step 5: Solve for x
    x = 36,684,999.73/6,859.51
  6. Step 6: Final answer
    x = 5,348.05

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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.