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Finding the Fourth Proportional to 9,820.36, 14,730.90 and 4,266.10

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Solution

The fourth proportional to 9,820.36, 14,730.90 and 4,266.10 is: 6,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.36 : 14,730.90 = 4,266.10 : x
  2. Step 2: Convert to fraction form
    9,820.36/14,730.90 = 4,266.10/x
  3. Step 3: Cross multiply
    9,820.36x = 14,730.90 × 4,266.10
  4. Step 4: Simplify right side
    9,820.36x = 62,843,492.49
  5. Step 5: Solve for x
    x = 62,843,492.49/9,820.36
  6. Step 6: Final answer
    x = 6,399.31

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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.