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Finding the Fourth Proportional to 9,152.51, 12,629.75 and 5,119.31

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Solution

The fourth proportional to 9,152.51, 12,629.75 and 5,119.31 is: 7,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.51 : 12,629.75 = 5,119.31 : x
  2. Step 2: Convert to fraction form
    9,152.51/12,629.75 = 5,119.31/x
  3. Step 3: Cross multiply
    9,152.51x = 12,629.75 × 5,119.31
  4. Step 4: Simplify right side
    9,152.51x = 64,655,611.45
  5. Step 5: Solve for x
    x = 64,655,611.45/9,152.51
  6. Step 6: Final answer
    x = 7,064.25

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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.