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Finding the Fourth Proportional to 9,107.14, 12,569.06 and 5,129.03

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Solution

The fourth proportional to 9,107.14, 12,569.06 and 5,129.03 is: 7,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.14 : 12,569.06 = 5,129.03 : x
  2. Step 2: Convert to fraction form
    9,107.14/12,569.06 = 5,129.03/x
  3. Step 3: Cross multiply
    9,107.14x = 12,569.06 × 5,129.03
  4. Step 4: Simplify right side
    9,107.14x = 64,467,085.81
  5. Step 5: Solve for x
    x = 64,467,085.81/9,107.14
  6. Step 6: Final answer
    x = 7,078.74

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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.