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Finding the Fourth Proportional to 9,206.20, 13,809.30 and 5,307.40

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Solution

The fourth proportional to 9,206.20, 13,809.30 and 5,307.40 is: 7,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.20 : 13,809.30 = 5,307.40 : x
  2. Step 2: Convert to fraction form
    9,206.20/13,809.30 = 5,307.40/x
  3. Step 3: Cross multiply
    9,206.20x = 13,809.30 × 5,307.40
  4. Step 4: Simplify right side
    9,206.20x = 73,291,478.82
  5. Step 5: Solve for x
    x = 73,291,478.82/9,206.20
  6. Step 6: Final answer
    x = 7,961.10

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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.