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Finding the Fourth Proportional to 9,702.12, 14,539.28 and 5,533.50

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Solution

The fourth proportional to 9,702.12, 14,539.28 and 5,533.50 is: 8,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.12 : 14,539.28 = 5,533.50 : x
  2. Step 2: Convert to fraction form
    9,702.12/14,539.28 = 5,533.50/x
  3. Step 3: Cross multiply
    9,702.12x = 14,539.28 × 5,533.50
  4. Step 4: Simplify right side
    9,702.12x = 80,453,078.21
  5. Step 5: Solve for x
    x = 80,453,078.21/9,702.12
  6. Step 6: Final answer
    x = 8,292.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.