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Finding the Fourth Proportional to 9,358.32, 12,914.64 and 5,109.60

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Solution

The fourth proportional to 9,358.32, 12,914.64 and 5,109.60 is: 7,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.32 : 12,914.64 = 5,109.60 : x
  2. Step 2: Convert to fraction form
    9,358.32/12,914.64 = 5,109.60/x
  3. Step 3: Cross multiply
    9,358.32x = 12,914.64 × 5,109.60
  4. Step 4: Simplify right side
    9,358.32x = 65,988,644.54
  5. Step 5: Solve for x
    x = 65,988,644.54/9,358.32
  6. Step 6: Final answer
    x = 7,051.33

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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.