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Finding the Fourth Proportional to 9,681.51, 13,360.36 and 5,489.49

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Solution

The fourth proportional to 9,681.51, 13,360.36 and 5,489.49 is: 7,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.51 : 13,360.36 = 5,489.49 : x
  2. Step 2: Convert to fraction form
    9,681.51/13,360.36 = 5,489.49/x
  3. Step 3: Cross multiply
    9,681.51x = 13,360.36 × 5,489.49
  4. Step 4: Simplify right side
    9,681.51x = 73,341,562.62
  5. Step 5: Solve for x
    x = 73,341,562.62/9,681.51
  6. Step 6: Final answer
    x = 7,575.43

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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.