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Finding the Fourth Proportional to 9,215.40, 12,715.74 and 8,748.48

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Solution

The fourth proportional to 9,215.40, 12,715.74 and 8,748.48 is: 12,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.40 : 12,715.74 = 8,748.48 : x
  2. Step 2: Convert to fraction form
    9,215.40/12,715.74 = 8,748.48/x
  3. Step 3: Cross multiply
    9,215.40x = 12,715.74 × 8,748.48
  4. Step 4: Simplify right side
    9,215.40x = 111,243,397.08
  5. Step 5: Solve for x
    x = 111,243,397.08/9,215.40
  6. Step 6: Final answer
    x = 12,071.47

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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.