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Finding the Fourth Proportional to 9,637.26, 13,300.46 and 5,658.94

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Solution

The fourth proportional to 9,637.26, 13,300.46 and 5,658.94 is: 7,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.26 : 13,300.46 = 5,658.94 : x
  2. Step 2: Convert to fraction form
    9,637.26/13,300.46 = 5,658.94/x
  3. Step 3: Cross multiply
    9,637.26x = 13,300.46 × 5,658.94
  4. Step 4: Simplify right side
    9,637.26x = 75,266,505.11
  5. Step 5: Solve for x
    x = 75,266,505.11/9,637.26
  6. Step 6: Final answer
    x = 7,809.95

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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.