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Finding the Fourth Proportional to 9,698.83, 14,540.85 and 4,430.18

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Solution

The fourth proportional to 9,698.83, 14,540.85 and 4,430.18 is: 6,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.83 : 14,540.85 = 4,430.18 : x
  2. Step 2: Convert to fraction form
    9,698.83/14,540.85 = 4,430.18/x
  3. Step 3: Cross multiply
    9,698.83x = 14,540.85 × 4,430.18
  4. Step 4: Simplify right side
    9,698.83x = 64,418,619.21
  5. Step 5: Solve for x
    x = 64,418,619.21/9,698.83
  6. Step 6: Final answer
    x = 6,641.90

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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.