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Finding the Fourth Proportional to 6,870.69, 9,461.21 and 5,820.93

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Solution

The fourth proportional to 6,870.69, 9,461.21 and 5,820.93 is: 8,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.69 : 9,461.21 = 5,820.93 : x
  2. Step 2: Convert to fraction form
    6,870.69/9,461.21 = 5,820.93/x
  3. Step 3: Cross multiply
    6,870.69x = 9,461.21 × 5,820.93
  4. Step 4: Simplify right side
    6,870.69x = 55,073,012.02
  5. Step 5: Solve for x
    x = 55,073,012.02/6,870.69
  6. Step 6: Final answer
    x = 8,015.65

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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.