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Finding the Fourth Proportional to 9,377.60, 14,056.80 and 5,211.20

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Solution

The fourth proportional to 9,377.60, 14,056.80 and 5,211.20 is: 7,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.60 : 14,056.80 = 5,211.20 : x
  2. Step 2: Convert to fraction form
    9,377.60/14,056.80 = 5,211.20/x
  3. Step 3: Cross multiply
    9,377.60x = 14,056.80 × 5,211.20
  4. Step 4: Simplify right side
    9,377.60x = 73,252,796.16
  5. Step 5: Solve for x
    x = 73,252,796.16/9,377.60
  6. Step 6: Final answer
    x = 7,811.47

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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.