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Finding the Fourth Proportional to 9,804.27, 13,520.70 and 7,562.64

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Solution

The fourth proportional to 9,804.27, 13,520.70 and 7,562.64 is: 10,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.27 : 13,520.70 = 7,562.64 : x
  2. Step 2: Convert to fraction form
    9,804.27/13,520.70 = 7,562.64/x
  3. Step 3: Cross multiply
    9,804.27x = 13,520.70 × 7,562.64
  4. Step 4: Simplify right side
    9,804.27x = 102,252,186.65
  5. Step 5: Solve for x
    x = 102,252,186.65/9,804.27
  6. Step 6: Final answer
    x = 10,429.35

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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.