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Finding the Fourth Proportional to 9,507.95, 13,120.44 and 5,258.77

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Solution

The fourth proportional to 9,507.95, 13,120.44 and 5,258.77 is: 7,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.95 : 13,120.44 = 5,258.77 : x
  2. Step 2: Convert to fraction form
    9,507.95/13,120.44 = 5,258.77/x
  3. Step 3: Cross multiply
    9,507.95x = 13,120.44 × 5,258.77
  4. Step 4: Simplify right side
    9,507.95x = 68,997,376.26
  5. Step 5: Solve for x
    x = 68,997,376.26/9,507.95
  6. Step 6: Final answer
    x = 7,256.81

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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.