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Finding the Fourth Proportional to 9,156.83, 13,735.24 and 3,312.07

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Solution

The fourth proportional to 9,156.83, 13,735.24 and 3,312.07 is: 4,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.83 : 13,735.24 = 3,312.07 : x
  2. Step 2: Convert to fraction form
    9,156.83/13,735.24 = 3,312.07/x
  3. Step 3: Cross multiply
    9,156.83x = 13,735.24 × 3,312.07
  4. Step 4: Simplify right side
    9,156.83x = 45,492,033.73
  5. Step 5: Solve for x
    x = 45,492,033.73/9,156.83
  6. Step 6: Final answer
    x = 4,968.10

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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.