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Finding the Fourth Proportional to 6,870.02, 9,505.62 and 5,987.66

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Solution

The fourth proportional to 6,870.02, 9,505.62 and 5,987.66 is: 8,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.02 : 9,505.62 = 5,987.66 : x
  2. Step 2: Convert to fraction form
    6,870.02/9,505.62 = 5,987.66/x
  3. Step 3: Cross multiply
    6,870.02x = 9,505.62 × 5,987.66
  4. Step 4: Simplify right side
    6,870.02x = 56,916,373.12
  5. Step 5: Solve for x
    x = 56,916,373.12/6,870.02
  6. Step 6: Final answer
    x = 8,284.75

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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.