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Finding the Fourth Proportional to 9,328.06, 12,871.19 and 5,796.05

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Solution

The fourth proportional to 9,328.06, 12,871.19 and 5,796.05 is: 7,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.06 : 12,871.19 = 5,796.05 : x
  2. Step 2: Convert to fraction form
    9,328.06/12,871.19 = 5,796.05/x
  3. Step 3: Cross multiply
    9,328.06x = 12,871.19 × 5,796.05
  4. Step 4: Simplify right side
    9,328.06x = 74,602,031.82
  5. Step 5: Solve for x
    x = 74,602,031.82/9,328.06
  6. Step 6: Final answer
    x = 7,997.60

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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.