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Finding the Fourth Proportional to 10,097.19, 13,945.79 and 6,734.16

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Solution

The fourth proportional to 10,097.19, 13,945.79 and 6,734.16 is: 9,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.19 : 13,945.79 = 6,734.16 : x
  2. Step 2: Convert to fraction form
    10,097.19/13,945.79 = 6,734.16/x
  3. Step 3: Cross multiply
    10,097.19x = 13,945.79 × 6,734.16
  4. Step 4: Simplify right side
    10,097.19x = 93,913,147.52
  5. Step 5: Solve for x
    x = 93,913,147.52/10,097.19
  6. Step 6: Final answer
    x = 9,300.92

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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.