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Finding the Fourth Proportional to 9,678.89, 13,356.87 and 5,487.14

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Solution

The fourth proportional to 9,678.89, 13,356.87 and 5,487.14 is: 7,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.89 : 13,356.87 = 5,487.14 : x
  2. Step 2: Convert to fraction form
    9,678.89/13,356.87 = 5,487.14/x
  3. Step 3: Cross multiply
    9,678.89x = 13,356.87 × 5,487.14
  4. Step 4: Simplify right side
    9,678.89x = 73,291,015.65
  5. Step 5: Solve for x
    x = 73,291,015.65/9,678.89
  6. Step 6: Final answer
    x = 7,572.25

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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.