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Finding the Fourth Proportional to 9,233.32, 12,742.08 and 5,041.57

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Solution

The fourth proportional to 9,233.32, 12,742.08 and 5,041.57 is: 6,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.32 : 12,742.08 = 5,041.57 : x
  2. Step 2: Convert to fraction form
    9,233.32/12,742.08 = 5,041.57/x
  3. Step 3: Cross multiply
    9,233.32x = 12,742.08 × 5,041.57
  4. Step 4: Simplify right side
    9,233.32x = 64,239,999.35
  5. Step 5: Solve for x
    x = 64,239,999.35/9,233.32
  6. Step 6: Final answer
    x = 6,957.41

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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.