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Finding the Fourth Proportional to 9,588.98, 14,383.07 and 3,349.00

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Solution

The fourth proportional to 9,588.98, 14,383.07 and 3,349.00 is: 5,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.98 : 14,383.07 = 3,349.00 : x
  2. Step 2: Convert to fraction form
    9,588.98/14,383.07 = 3,349.00/x
  3. Step 3: Cross multiply
    9,588.98x = 14,383.07 × 3,349.00
  4. Step 4: Simplify right side
    9,588.98x = 48,168,834.32
  5. Step 5: Solve for x
    x = 48,168,834.32/9,588.98
  6. Step 6: Final answer
    x = 5,023.35

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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.