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Finding the Fourth Proportional to 6,270.66, 9,405.99 and 5,095.08

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Solution

The fourth proportional to 6,270.66, 9,405.99 and 5,095.08 is: 7,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.66 : 9,405.99 = 5,095.08 : x
  2. Step 2: Convert to fraction form
    6,270.66/9,405.99 = 5,095.08/x
  3. Step 3: Cross multiply
    6,270.66x = 9,405.99 × 5,095.08
  4. Step 4: Simplify right side
    6,270.66x = 47,924,271.53
  5. Step 5: Solve for x
    x = 47,924,271.53/6,270.66
  6. Step 6: Final answer
    x = 7,642.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.