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Finding the Fourth Proportional to 9,765.98, 13,477.02 and 5,289.72

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Solution

The fourth proportional to 9,765.98, 13,477.02 and 5,289.72 is: 7,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.98 : 13,477.02 = 5,289.72 : x
  2. Step 2: Convert to fraction form
    9,765.98/13,477.02 = 5,289.72/x
  3. Step 3: Cross multiply
    9,765.98x = 13,477.02 × 5,289.72
  4. Step 4: Simplify right side
    9,765.98x = 71,289,662.23
  5. Step 5: Solve for x
    x = 71,289,662.23/9,765.98
  6. Step 6: Final answer
    x = 7,299.80

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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.