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Finding the Fourth Proportional to 9,681.84, 13,365.01 and 6,542.28

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Solution

The fourth proportional to 9,681.84, 13,365.01 and 6,542.28 is: 9,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.84 : 13,365.01 = 6,542.28 : x
  2. Step 2: Convert to fraction form
    9,681.84/13,365.01 = 6,542.28/x
  3. Step 3: Cross multiply
    9,681.84x = 13,365.01 × 6,542.28
  4. Step 4: Simplify right side
    9,681.84x = 87,437,637.62
  5. Step 5: Solve for x
    x = 87,437,637.62/9,681.84
  6. Step 6: Final answer
    x = 9,031.10

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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.