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Finding the Fourth Proportional to 9,842.30, 14,755.65 and 4,909.40

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Solution

The fourth proportional to 9,842.30, 14,755.65 and 4,909.40 is: 7,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.30 : 14,755.65 = 4,909.40 : x
  2. Step 2: Convert to fraction form
    9,842.30/14,755.65 = 4,909.40/x
  3. Step 3: Cross multiply
    9,842.30x = 14,755.65 × 4,909.40
  4. Step 4: Simplify right side
    9,842.30x = 72,441,388.11
  5. Step 5: Solve for x
    x = 72,441,388.11/9,842.30
  6. Step 6: Final answer
    x = 7,360.21

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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.