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Finding the Fourth Proportional to 9,678.48, 13,352.41 and 7,020.06

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Solution

The fourth proportional to 9,678.48, 13,352.41 and 7,020.06 is: 9,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.48 : 13,352.41 = 7,020.06 : x
  2. Step 2: Convert to fraction form
    9,678.48/13,352.41 = 7,020.06/x
  3. Step 3: Cross multiply
    9,678.48x = 13,352.41 × 7,020.06
  4. Step 4: Simplify right side
    9,678.48x = 93,734,719.34
  5. Step 5: Solve for x
    x = 93,734,719.34/9,678.48
  6. Step 6: Final answer
    x = 9,684.86

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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.