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Finding the Fourth Proportional to 9,049.79, 12,477.84 and 7,788.68

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Solution

The fourth proportional to 9,049.79, 12,477.84 and 7,788.68 is: 10,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.79 : 12,477.84 = 7,788.68 : x
  2. Step 2: Convert to fraction form
    9,049.79/12,477.84 = 7,788.68/x
  3. Step 3: Cross multiply
    9,049.79x = 12,477.84 × 7,788.68
  4. Step 4: Simplify right side
    9,049.79x = 97,185,852.51
  5. Step 5: Solve for x
    x = 97,185,852.51/9,049.79
  6. Step 6: Final answer
    x = 10,739.02

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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.