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Finding the Fourth Proportional to 9,636.64, 13,300.98 and 5,447.32

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Solution

The fourth proportional to 9,636.64, 13,300.98 and 5,447.32 is: 7,518.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.64 : 13,300.98 = 5,447.32 : x
  2. Step 2: Convert to fraction form
    9,636.64/13,300.98 = 5,447.32/x
  3. Step 3: Cross multiply
    9,636.64x = 13,300.98 × 5,447.32
  4. Step 4: Simplify right side
    9,636.64x = 72,454,694.37
  5. Step 5: Solve for x
    x = 72,454,694.37/9,636.64
  6. Step 6: Final answer
    x = 7,518.67

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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.