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Finding the Fourth Proportional to 9,842.83, 14,755.94 and 4,292.10

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Solution

The fourth proportional to 9,842.83, 14,755.94 and 4,292.10 is: 6,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.83 : 14,755.94 = 4,292.10 : x
  2. Step 2: Convert to fraction form
    9,842.83/14,755.94 = 4,292.10/x
  3. Step 3: Cross multiply
    9,842.83x = 14,755.94 × 4,292.10
  4. Step 4: Simplify right side
    9,842.83x = 63,334,017.69
  5. Step 5: Solve for x
    x = 63,334,017.69/9,842.83
  6. Step 6: Final answer
    x = 6,434.53

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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.