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Finding the Fourth Proportional to 9,184.32, 12,673.32 and 5,204.58

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Solution

The fourth proportional to 9,184.32, 12,673.32 and 5,204.58 is: 7,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.32 : 12,673.32 = 5,204.58 : x
  2. Step 2: Convert to fraction form
    9,184.32/12,673.32 = 5,204.58/x
  3. Step 3: Cross multiply
    9,184.32x = 12,673.32 × 5,204.58
  4. Step 4: Simplify right side
    9,184.32x = 65,959,307.81
  5. Step 5: Solve for x
    x = 65,959,307.81/9,184.32
  6. Step 6: Final answer
    x = 7,181.73

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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.