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Finding the Fourth Proportional to 9,970.46, 14,955.69 and 4,120.64

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Solution

The fourth proportional to 9,970.46, 14,955.69 and 4,120.64 is: 6,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.46 : 14,955.69 = 4,120.64 : x
  2. Step 2: Convert to fraction form
    9,970.46/14,955.69 = 4,120.64/x
  3. Step 3: Cross multiply
    9,970.46x = 14,955.69 × 4,120.64
  4. Step 4: Simplify right side
    9,970.46x = 61,627,014.44
  5. Step 5: Solve for x
    x = 61,627,014.44/9,970.46
  6. Step 6: Final answer
    x = 6,180.96

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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.