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Finding the Fourth Proportional to 9,358.48, 12,911.32 and 7,205.68

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Solution

The fourth proportional to 9,358.48, 12,911.32 and 7,205.68 is: 9,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.48 : 12,911.32 = 7,205.68 : x
  2. Step 2: Convert to fraction form
    9,358.48/12,911.32 = 7,205.68/x
  3. Step 3: Cross multiply
    9,358.48x = 12,911.32 × 7,205.68
  4. Step 4: Simplify right side
    9,358.48x = 93,034,840.30
  5. Step 5: Solve for x
    x = 93,034,840.30/9,358.48
  6. Step 6: Final answer
    x = 9,941.23

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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.