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Finding the Fourth Proportional to 9,085.78, 12,536.97 and 5,106.13

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Solution

The fourth proportional to 9,085.78, 12,536.97 and 5,106.13 is: 7,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.78 : 12,536.97 = 5,106.13 : x
  2. Step 2: Convert to fraction form
    9,085.78/12,536.97 = 5,106.13/x
  3. Step 3: Cross multiply
    9,085.78x = 12,536.97 × 5,106.13
  4. Step 4: Simplify right side
    9,085.78x = 64,015,398.63
  5. Step 5: Solve for x
    x = 64,015,398.63/9,085.78
  6. Step 6: Final answer
    x = 7,045.67

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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.