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Finding the Fourth Proportional to 7,176.96, 9,901.76 and 4,486.34

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Solution

The fourth proportional to 7,176.96, 9,901.76 and 4,486.34 is: 6,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.96 : 9,901.76 = 4,486.34 : x
  2. Step 2: Convert to fraction form
    7,176.96/9,901.76 = 4,486.34/x
  3. Step 3: Cross multiply
    7,176.96x = 9,901.76 × 4,486.34
  4. Step 4: Simplify right side
    7,176.96x = 44,422,590.02
  5. Step 5: Solve for x
    x = 44,422,590.02/7,176.96
  6. Step 6: Final answer
    x = 6,189.61

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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.