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Finding the Fourth Proportional to 9,774.84, 14,608.58 and 7,147.86

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Solution

The fourth proportional to 9,774.84, 14,608.58 and 7,147.86 is: 10,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.84 : 14,608.58 = 7,147.86 : x
  2. Step 2: Convert to fraction form
    9,774.84/14,608.58 = 7,147.86/x
  3. Step 3: Cross multiply
    9,774.84x = 14,608.58 × 7,147.86
  4. Step 4: Simplify right side
    9,774.84x = 104,420,084.64
  5. Step 5: Solve for x
    x = 104,420,084.64/9,774.84
  6. Step 6: Final answer
    x = 10,682.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.