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Finding the Fourth Proportional to 9,288.68, 12,818.13 and 5,653.37

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Solution

The fourth proportional to 9,288.68, 12,818.13 and 5,653.37 is: 7,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.68 : 12,818.13 = 5,653.37 : x
  2. Step 2: Convert to fraction form
    9,288.68/12,818.13 = 5,653.37/x
  3. Step 3: Cross multiply
    9,288.68x = 12,818.13 × 5,653.37
  4. Step 4: Simplify right side
    9,288.68x = 72,465,567.51
  5. Step 5: Solve for x
    x = 72,465,567.51/9,288.68
  6. Step 6: Final answer
    x = 7,801.49

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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.