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Finding the Fourth Proportional to 9,332.28, 13,994.70 and 4,648.86

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Solution

The fourth proportional to 9,332.28, 13,994.70 and 4,648.86 is: 6,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.28 : 13,994.70 = 4,648.86 : x
  2. Step 2: Convert to fraction form
    9,332.28/13,994.70 = 4,648.86/x
  3. Step 3: Cross multiply
    9,332.28x = 13,994.70 × 4,648.86
  4. Step 4: Simplify right side
    9,332.28x = 65,059,401.04
  5. Step 5: Solve for x
    x = 65,059,401.04/9,332.28
  6. Step 6: Final answer
    x = 6,971.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.