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Finding the Fourth Proportional to 9,636.48, 14,454.74 and 4,957.11

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Solution

The fourth proportional to 9,636.48, 14,454.74 and 4,957.11 is: 7,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.48 : 14,454.74 = 4,957.11 : x
  2. Step 2: Convert to fraction form
    9,636.48/14,454.74 = 4,957.11/x
  3. Step 3: Cross multiply
    9,636.48x = 14,454.74 × 4,957.11
  4. Step 4: Simplify right side
    9,636.48x = 71,653,711.42
  5. Step 5: Solve for x
    x = 71,653,711.42/9,636.48
  6. Step 6: Final answer
    x = 7,435.67

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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.