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Finding the Fourth Proportional to 9,219.35, 13,830.28 and 2,977.29

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Solution

The fourth proportional to 9,219.35, 13,830.28 and 2,977.29 is: 4,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.35 : 13,830.28 = 2,977.29 : x
  2. Step 2: Convert to fraction form
    9,219.35/13,830.28 = 2,977.29/x
  3. Step 3: Cross multiply
    9,219.35x = 13,830.28 × 2,977.29
  4. Step 4: Simplify right side
    9,219.35x = 41,176,746.90
  5. Step 5: Solve for x
    x = 41,176,746.90/9,219.35
  6. Step 6: Final answer
    x = 4,466.34

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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.