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Finding the Fourth Proportional to 9,507.65, 13,120.29 and 5,258.97

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Solution

The fourth proportional to 9,507.65, 13,120.29 and 5,258.97 is: 7,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.65 : 13,120.29 = 5,258.97 : x
  2. Step 2: Convert to fraction form
    9,507.65/13,120.29 = 5,258.97/x
  3. Step 3: Cross multiply
    9,507.65x = 13,120.29 × 5,258.97
  4. Step 4: Simplify right side
    9,507.65x = 68,999,211.50
  5. Step 5: Solve for x
    x = 68,999,211.50/9,507.65
  6. Step 6: Final answer
    x = 7,257.23

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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.