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Finding the Fourth Proportional to 9,637.80, 14,456.70 and 7,450.80

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Solution

The fourth proportional to 9,637.80, 14,456.70 and 7,450.80 is: 11,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.80 : 14,456.70 = 7,450.80 : x
  2. Step 2: Convert to fraction form
    9,637.80/14,456.70 = 7,450.80/x
  3. Step 3: Cross multiply
    9,637.80x = 14,456.70 × 7,450.80
  4. Step 4: Simplify right side
    9,637.80x = 107,713,980.36
  5. Step 5: Solve for x
    x = 107,713,980.36/9,637.80
  6. Step 6: Final answer
    x = 11,176.20

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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.