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Finding the Fourth Proportional to 9,646.95, 13,315.41 and 5,669.34

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Solution

The fourth proportional to 9,646.95, 13,315.41 and 5,669.34 is: 7,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.95 : 13,315.41 = 5,669.34 : x
  2. Step 2: Convert to fraction form
    9,646.95/13,315.41 = 5,669.34/x
  3. Step 3: Cross multiply
    9,646.95x = 13,315.41 × 5,669.34
  4. Step 4: Simplify right side
    9,646.95x = 75,489,627.44
  5. Step 5: Solve for x
    x = 75,489,627.44/9,646.95
  6. Step 6: Final answer
    x = 7,825.23

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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.