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Finding the Fourth Proportional to 6,859.16, 9,465.08 and 3,875.25

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Solution

The fourth proportional to 6,859.16, 9,465.08 and 3,875.25 is: 5,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.16 : 9,465.08 = 3,875.25 : x
  2. Step 2: Convert to fraction form
    6,859.16/9,465.08 = 3,875.25/x
  3. Step 3: Cross multiply
    6,859.16x = 9,465.08 × 3,875.25
  4. Step 4: Simplify right side
    6,859.16x = 36,679,531.89
  5. Step 5: Solve for x
    x = 36,679,531.89/6,859.16
  6. Step 6: Final answer
    x = 5,347.53

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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.