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Finding the Fourth Proportional to 9,707.69, 14,549.38 and 4,154.54

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Solution

The fourth proportional to 9,707.69, 14,549.38 and 4,154.54 is: 6,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.69 : 14,549.38 = 4,154.54 : x
  2. Step 2: Convert to fraction form
    9,707.69/14,549.38 = 4,154.54/x
  3. Step 3: Cross multiply
    9,707.69x = 14,549.38 × 4,154.54
  4. Step 4: Simplify right side
    9,707.69x = 60,445,898.05
  5. Step 5: Solve for x
    x = 60,445,898.05/9,707.69
  6. Step 6: Final answer
    x = 6,226.60

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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.