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Finding the Fourth Proportional to 9,288.64, 12,818.48 and 5,097.28

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Solution

The fourth proportional to 9,288.64, 12,818.48 and 5,097.28 is: 7,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.64 : 12,818.48 = 5,097.28 : x
  2. Step 2: Convert to fraction form
    9,288.64/12,818.48 = 5,097.28/x
  3. Step 3: Cross multiply
    9,288.64x = 12,818.48 × 5,097.28
  4. Step 4: Simplify right side
    9,288.64x = 65,339,381.73
  5. Step 5: Solve for x
    x = 65,339,381.73/9,288.64
  6. Step 6: Final answer
    x = 7,034.33

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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.