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Finding the Fourth Proportional to 9,190.51, 12,678.81 and 6,125.05

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Solution

The fourth proportional to 9,190.51, 12,678.81 and 6,125.05 is: 8,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.51 : 12,678.81 = 6,125.05 : x
  2. Step 2: Convert to fraction form
    9,190.51/12,678.81 = 6,125.05/x
  3. Step 3: Cross multiply
    9,190.51x = 12,678.81 × 6,125.05
  4. Step 4: Simplify right side
    9,190.51x = 77,658,345.19
  5. Step 5: Solve for x
    x = 77,658,345.19/9,190.51
  6. Step 6: Final answer
    x = 8,449.84

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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.