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Finding the Fourth Proportional to 9,089.72, 12,543.81 and 5,111.77

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Solution

The fourth proportional to 9,089.72, 12,543.81 and 5,111.77 is: 7,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.72 : 12,543.81 = 5,111.77 : x
  2. Step 2: Convert to fraction form
    9,089.72/12,543.81 = 5,111.77/x
  3. Step 3: Cross multiply
    9,089.72x = 12,543.81 × 5,111.77
  4. Step 4: Simplify right side
    9,089.72x = 64,121,091.03
  5. Step 5: Solve for x
    x = 64,121,091.03/9,089.72
  6. Step 6: Final answer
    x = 7,054.24

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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.