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Finding the Fourth Proportional to 9,089.64, 12,544.56 and 5,111.10

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Solution

The fourth proportional to 9,089.64, 12,544.56 and 5,111.10 is: 7,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.64 : 12,544.56 = 5,111.10 : x
  2. Step 2: Convert to fraction form
    9,089.64/12,544.56 = 5,111.10/x
  3. Step 3: Cross multiply
    9,089.64x = 12,544.56 × 5,111.10
  4. Step 4: Simplify right side
    9,089.64x = 64,116,500.62
  5. Step 5: Solve for x
    x = 64,116,500.62/9,089.64
  6. Step 6: Final answer
    x = 7,053.80

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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.