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Finding the Fourth Proportional to 9,446.58, 13,038.18 and 7,204.44

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Solution

The fourth proportional to 9,446.58, 13,038.18 and 7,204.44 is: 9,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.58 : 13,038.18 = 7,204.44 : x
  2. Step 2: Convert to fraction form
    9,446.58/13,038.18 = 7,204.44/x
  3. Step 3: Cross multiply
    9,446.58x = 13,038.18 × 7,204.44
  4. Step 4: Simplify right side
    9,446.58x = 93,932,785.52
  5. Step 5: Solve for x
    x = 93,932,785.52/9,446.58
  6. Step 6: Final answer
    x = 9,943.58

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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.