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Finding the Fourth Proportional to 9,681.59, 13,364.67 and 6,542.03

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Solution

The fourth proportional to 9,681.59, 13,364.67 and 6,542.03 is: 9,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.59 : 13,364.67 = 6,542.03 : x
  2. Step 2: Convert to fraction form
    9,681.59/13,364.67 = 6,542.03/x
  3. Step 3: Cross multiply
    9,681.59x = 13,364.67 × 6,542.03
  4. Step 4: Simplify right side
    9,681.59x = 87,432,005.26
  5. Step 5: Solve for x
    x = 87,432,005.26/9,681.59
  6. Step 6: Final answer
    x = 9,030.75

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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.