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Finding the Fourth Proportional to 13,097.09, 18,074.34 and 7,129.16

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Solution

The fourth proportional to 13,097.09, 18,074.34 and 7,129.16 is: 9,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.09 : 18,074.34 = 7,129.16 : x
  2. Step 2: Convert to fraction form
    13,097.09/18,074.34 = 7,129.16/x
  3. Step 3: Cross multiply
    13,097.09x = 18,074.34 × 7,129.16
  4. Step 4: Simplify right side
    13,097.09x = 128,854,940.83
  5. Step 5: Solve for x
    x = 128,854,940.83/13,097.09
  6. Step 6: Final answer
    x = 9,838.44

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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.