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Finding the Fourth Proportional to 9,477.70, 13,080.44 and 7,881.60

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Solution

The fourth proportional to 9,477.70, 13,080.44 and 7,881.60 is: 10,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.70 : 13,080.44 = 7,881.60 : x
  2. Step 2: Convert to fraction form
    9,477.70/13,080.44 = 7,881.60/x
  3. Step 3: Cross multiply
    9,477.70x = 13,080.44 × 7,881.60
  4. Step 4: Simplify right side
    9,477.70x = 103,094,795.90
  5. Step 5: Solve for x
    x = 103,094,795.90/9,477.70
  6. Step 6: Final answer
    x = 10,877.62

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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.