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Finding the Fourth Proportional to 9,804.52, 13,530 and 5,328.28

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Solution

The fourth proportional to 9,804.52, 13,530 and 5,328.28 is: 7,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.52 : 13,530 = 5,328.28 : x
  2. Step 2: Convert to fraction form
    9,804.52/13,530 = 5,328.28/x
  3. Step 3: Cross multiply
    9,804.52x = 13,530 × 5,328.28
  4. Step 4: Simplify right side
    9,804.52x = 72,091,628.40
  5. Step 5: Solve for x
    x = 72,091,628.40/9,804.52
  6. Step 6: Final answer
    x = 7,352.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.