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Finding the Fourth Proportional to 9,280.78, 12,807.50 and 5,505.82

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Solution

The fourth proportional to 9,280.78, 12,807.50 and 5,505.82 is: 7,598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.78 : 12,807.50 = 5,505.82 : x
  2. Step 2: Convert to fraction form
    9,280.78/12,807.50 = 5,505.82/x
  3. Step 3: Cross multiply
    9,280.78x = 12,807.50 × 5,505.82
  4. Step 4: Simplify right side
    9,280.78x = 70,515,730.10
  5. Step 5: Solve for x
    x = 70,515,730.10/9,280.78
  6. Step 6: Final answer
    x = 7,598.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.