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Finding the Fourth Proportional to 9,677.48, 13,351.03 and 7,019.06

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Solution

The fourth proportional to 9,677.48, 13,351.03 and 7,019.06 is: 9,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.48 : 13,351.03 = 7,019.06 : x
  2. Step 2: Convert to fraction form
    9,677.48/13,351.03 = 7,019.06/x
  3. Step 3: Cross multiply
    9,677.48x = 13,351.03 × 7,019.06
  4. Step 4: Simplify right side
    9,677.48x = 93,711,596.33
  5. Step 5: Solve for x
    x = 93,711,596.33/9,677.48
  6. Step 6: Final answer
    x = 9,683.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.