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Finding the Fourth Proportional to 9,719.37, 14,579.07 and 4,788.09

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Solution

The fourth proportional to 9,719.37, 14,579.07 and 4,788.09 is: 7,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.37 : 14,579.07 = 4,788.09 : x
  2. Step 2: Convert to fraction form
    9,719.37/14,579.07 = 4,788.09/x
  3. Step 3: Cross multiply
    9,719.37x = 14,579.07 × 4,788.09
  4. Step 4: Simplify right side
    9,719.37x = 69,805,899.28
  5. Step 5: Solve for x
    x = 69,805,899.28/9,719.37
  6. Step 6: Final answer
    x = 7,182.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.