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Finding the Fourth Proportional to 6,070.64, 9,099.46 and 4,334

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Solution

The fourth proportional to 6,070.64, 9,099.46 and 4,334 is: 6,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.64 : 9,099.46 = 4,334 : x
  2. Step 2: Convert to fraction form
    6,070.64/9,099.46 = 4,334/x
  3. Step 3: Cross multiply
    6,070.64x = 9,099.46 × 4,334
  4. Step 4: Simplify right side
    6,070.64x = 39,437,059.64
  5. Step 5: Solve for x
    x = 39,437,059.64/6,070.64
  6. Step 6: Final answer
    x = 6,496.36

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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.