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Finding the Fourth Proportional to 9,133.55, 13,702.45 and 2,809.47

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Solution

The fourth proportional to 9,133.55, 13,702.45 and 2,809.47 is: 4,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.55 : 13,702.45 = 2,809.47 : x
  2. Step 2: Convert to fraction form
    9,133.55/13,702.45 = 2,809.47/x
  3. Step 3: Cross multiply
    9,133.55x = 13,702.45 × 2,809.47
  4. Step 4: Simplify right side
    9,133.55x = 38,496,622.20
  5. Step 5: Solve for x
    x = 38,496,622.20/9,133.55
  6. Step 6: Final answer
    x = 4,214.86

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