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Finding the Fourth Proportional to 9,280.86, 12,805.74 and 5,506.89

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Solution

The fourth proportional to 9,280.86, 12,805.74 and 5,506.89 is: 7,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.86 : 12,805.74 = 5,506.89 : x
  2. Step 2: Convert to fraction form
    9,280.86/12,805.74 = 5,506.89/x
  3. Step 3: Cross multiply
    9,280.86x = 12,805.74 × 5,506.89
  4. Step 4: Simplify right side
    9,280.86x = 70,519,801.55
  5. Step 5: Solve for x
    x = 70,519,801.55/9,280.86
  6. Step 6: Final answer
    x = 7,598.41

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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.