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Finding the Fourth Proportional to 9,846.06, 14,774.61 and 5,228.94

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Solution

The fourth proportional to 9,846.06, 14,774.61 and 5,228.94 is: 7,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.06 : 14,774.61 = 5,228.94 : x
  2. Step 2: Convert to fraction form
    9,846.06/14,774.61 = 5,228.94/x
  3. Step 3: Cross multiply
    9,846.06x = 14,774.61 × 5,228.94
  4. Step 4: Simplify right side
    9,846.06x = 77,255,549.21
  5. Step 5: Solve for x
    x = 77,255,549.21/9,846.06
  6. Step 6: Final answer
    x = 7,846.34

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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.