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Finding the Fourth Proportional to 9,642.36, 14,462.46 and 6,542.28

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Solution

The fourth proportional to 9,642.36, 14,462.46 and 6,542.28 is: 9,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.36 : 14,462.46 = 6,542.28 : x
  2. Step 2: Convert to fraction form
    9,642.36/14,462.46 = 6,542.28/x
  3. Step 3: Cross multiply
    9,642.36x = 14,462.46 × 6,542.28
  4. Step 4: Simplify right side
    9,642.36x = 94,617,462.81
  5. Step 5: Solve for x
    x = 94,617,462.81/9,642.36
  6. Step 6: Final answer
    x = 9,812.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.