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Finding the Fourth Proportional to 10,095.36, 13,928.42 and 7,112.83

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Solution

The fourth proportional to 10,095.36, 13,928.42 and 7,112.83 is: 9,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.36 : 13,928.42 = 7,112.83 : x
  2. Step 2: Convert to fraction form
    10,095.36/13,928.42 = 7,112.83/x
  3. Step 3: Cross multiply
    10,095.36x = 13,928.42 × 7,112.83
  4. Step 4: Simplify right side
    10,095.36x = 99,070,483.63
  5. Step 5: Solve for x
    x = 99,070,483.63/10,095.36
  6. Step 6: Final answer
    x = 9,813.47

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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.