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Finding the Fourth Proportional to 9,673.33, 14,507.82 and 4,738

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Solution

The fourth proportional to 9,673.33, 14,507.82 and 4,738 is: 7,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.33 : 14,507.82 = 4,738 : x
  2. Step 2: Convert to fraction form
    9,673.33/14,507.82 = 4,738/x
  3. Step 3: Cross multiply
    9,673.33x = 14,507.82 × 4,738
  4. Step 4: Simplify right side
    9,673.33x = 68,738,051.16
  5. Step 5: Solve for x
    x = 68,738,051.16/9,673.33
  6. Step 6: Final answer
    x = 7,105.93

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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.