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Finding the Fourth Proportional to 7,123.60, 9,809.56 and 4,883.16

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Solution

The fourth proportional to 7,123.60, 9,809.56 and 4,883.16 is: 6,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.60 : 9,809.56 = 4,883.16 : x
  2. Step 2: Convert to fraction form
    7,123.60/9,809.56 = 4,883.16/x
  3. Step 3: Cross multiply
    7,123.60x = 9,809.56 × 4,883.16
  4. Step 4: Simplify right side
    7,123.60x = 47,901,651.01
  5. Step 5: Solve for x
    x = 47,901,651.01/7,123.60
  6. Step 6: Final answer
    x = 6,724.36

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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.