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Finding the Fourth Proportional to 9,287.02, 12,815.67 and 5,095.18

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Solution

The fourth proportional to 9,287.02, 12,815.67 and 5,095.18 is: 7,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.02 : 12,815.67 = 5,095.18 : x
  2. Step 2: Convert to fraction form
    9,287.02/12,815.67 = 5,095.18/x
  3. Step 3: Cross multiply
    9,287.02x = 12,815.67 × 5,095.18
  4. Step 4: Simplify right side
    9,287.02x = 65,298,145.47
  5. Step 5: Solve for x
    x = 65,298,145.47/9,287.02
  6. Step 6: Final answer
    x = 7,031.12

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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.