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Finding the Fourth Proportional to 9,567.66, 14,352.32 and 2,642.16

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Solution

The fourth proportional to 9,567.66, 14,352.32 and 2,642.16 is: 3,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.66 : 14,352.32 = 2,642.16 : x
  2. Step 2: Convert to fraction form
    9,567.66/14,352.32 = 2,642.16/x
  3. Step 3: Cross multiply
    9,567.66x = 14,352.32 × 2,642.16
  4. Step 4: Simplify right side
    9,567.66x = 37,921,112.60
  5. Step 5: Solve for x
    x = 37,921,112.60/9,567.66
  6. Step 6: Final answer
    x = 3,963.47

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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.