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Finding the Fourth Proportional to 9,619.76, 14,431.40 and 4,425.50

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Solution

The fourth proportional to 9,619.76, 14,431.40 and 4,425.50 is: 6,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.76 : 14,431.40 = 4,425.50 : x
  2. Step 2: Convert to fraction form
    9,619.76/14,431.40 = 4,425.50/x
  3. Step 3: Cross multiply
    9,619.76x = 14,431.40 × 4,425.50
  4. Step 4: Simplify right side
    9,619.76x = 63,866,160.70
  5. Step 5: Solve for x
    x = 63,866,160.70/9,619.76
  6. Step 6: Final answer
    x = 6,639.06

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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.