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Finding the Fourth Proportional to 9,506.94, 13,119.72 and 5,258.22

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Solution

The fourth proportional to 9,506.94, 13,119.72 and 5,258.22 is: 7,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.94 : 13,119.72 = 5,258.22 : x
  2. Step 2: Convert to fraction form
    9,506.94/13,119.72 = 5,258.22/x
  3. Step 3: Cross multiply
    9,506.94x = 13,119.72 × 5,258.22
  4. Step 4: Simplify right side
    9,506.94x = 68,986,374.10
  5. Step 5: Solve for x
    x = 68,986,374.10/9,506.94
  6. Step 6: Final answer
    x = 7,256.42

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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.