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Finding the Fourth Proportional to 9,706.76, 14,561.58 and 5,025.32

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Solution

The fourth proportional to 9,706.76, 14,561.58 and 5,025.32 is: 7,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.76 : 14,561.58 = 5,025.32 : x
  2. Step 2: Convert to fraction form
    9,706.76/14,561.58 = 5,025.32/x
  3. Step 3: Cross multiply
    9,706.76x = 14,561.58 × 5,025.32
  4. Step 4: Simplify right side
    9,706.76x = 73,176,599.21
  5. Step 5: Solve for x
    x = 73,176,599.21/9,706.76
  6. Step 6: Final answer
    x = 7,538.73

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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.