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Finding the Fourth Proportional to 8,892.14, 12,271.40 and 5,309.18

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Solution

The fourth proportional to 8,892.14, 12,271.40 and 5,309.18 is: 7,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.14 : 12,271.40 = 5,309.18 : x
  2. Step 2: Convert to fraction form
    8,892.14/12,271.40 = 5,309.18/x
  3. Step 3: Cross multiply
    8,892.14x = 12,271.40 × 5,309.18
  4. Step 4: Simplify right side
    8,892.14x = 65,151,071.45
  5. Step 5: Solve for x
    x = 65,151,071.45/8,892.14
  6. Step 6: Final answer
    x = 7,326.82

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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.