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Finding the Fourth Proportional to 9,496, 13,104.48 and 5,304.34

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Solution

The fourth proportional to 9,496, 13,104.48 and 5,304.34 is: 7,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 13,104.48 = 5,304.34 : x
  2. Step 2: Convert to fraction form
    9,496/13,104.48 = 5,304.34/x
  3. Step 3: Cross multiply
    9,496x = 13,104.48 × 5,304.34
  4. Step 4: Simplify right side
    9,496x = 69,510,617.44
  5. Step 5: Solve for x
    x = 69,510,617.44/9,496
  6. Step 6: Final answer
    x = 7,319.99

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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.