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Finding the Fourth Proportional to 6,855.56, 9,460.15 and 3,870.98

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Solution

The fourth proportional to 6,855.56, 9,460.15 and 3,870.98 is: 5,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.56 : 9,460.15 = 3,870.98 : x
  2. Step 2: Convert to fraction form
    6,855.56/9,460.15 = 3,870.98/x
  3. Step 3: Cross multiply
    6,855.56x = 9,460.15 × 3,870.98
  4. Step 4: Simplify right side
    6,855.56x = 36,619,994.47
  5. Step 5: Solve for x
    x = 36,619,994.47/6,855.56
  6. Step 6: Final answer
    x = 5,341.65

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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.