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Finding the Fourth Proportional to 9,641, 14,466.92 and 9,567.56

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Solution

The fourth proportional to 9,641, 14,466.92 and 9,567.56 is: 14,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 14,466.92 = 9,567.56 : x
  2. Step 2: Convert to fraction form
    9,641/14,466.92 = 9,567.56/x
  3. Step 3: Cross multiply
    9,641x = 14,466.92 × 9,567.56
  4. Step 4: Simplify right side
    9,641x = 138,413,125.12
  5. Step 5: Solve for x
    x = 138,413,125.12/9,641
  6. Step 6: Final answer
    x = 14,356.72

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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.