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Finding the Fourth Proportional to 9,681.52, 13,361.46 and 5,703.88

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Solution

The fourth proportional to 9,681.52, 13,361.46 and 5,703.88 is: 7,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.52 : 13,361.46 = 5,703.88 : x
  2. Step 2: Convert to fraction form
    9,681.52/13,361.46 = 5,703.88/x
  3. Step 3: Cross multiply
    9,681.52x = 13,361.46 × 5,703.88
  4. Step 4: Simplify right side
    9,681.52x = 76,212,164.46
  5. Step 5: Solve for x
    x = 76,212,164.46/9,681.52
  6. Step 6: Final answer
    x = 7,871.92

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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.