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Finding the Fourth Proportional to 9,579.16, 13,215.18 and 5,851

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Solution

The fourth proportional to 9,579.16, 13,215.18 and 5,851 is: 8,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.16 : 13,215.18 = 5,851 : x
  2. Step 2: Convert to fraction form
    9,579.16/13,215.18 = 5,851/x
  3. Step 3: Cross multiply
    9,579.16x = 13,215.18 × 5,851
  4. Step 4: Simplify right side
    9,579.16x = 77,322,018.18
  5. Step 5: Solve for x
    x = 77,322,018.18/9,579.16
  6. Step 6: Final answer
    x = 8,071.90

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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.