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Finding the Fourth Proportional to 9,215.07, 12,716.76 and 5,023.32

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Solution

The fourth proportional to 9,215.07, 12,716.76 and 5,023.32 is: 6,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.07 : 12,716.76 = 5,023.32 : x
  2. Step 2: Convert to fraction form
    9,215.07/12,716.76 = 5,023.32/x
  3. Step 3: Cross multiply
    9,215.07x = 12,716.76 × 5,023.32
  4. Step 4: Simplify right side
    9,215.07x = 63,880,354.84
  5. Step 5: Solve for x
    x = 63,880,354.84/9,215.07
  6. Step 6: Final answer
    x = 6,932.16

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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.