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Finding the Fourth Proportional to 9,678.61, 13,356.42 and 5,699.64

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Solution

The fourth proportional to 9,678.61, 13,356.42 and 5,699.64 is: 7,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.61 : 13,356.42 = 5,699.64 : x
  2. Step 2: Convert to fraction form
    9,678.61/13,356.42 = 5,699.64/x
  3. Step 3: Cross multiply
    9,678.61x = 13,356.42 × 5,699.64
  4. Step 4: Simplify right side
    9,678.61x = 76,126,792.87
  5. Step 5: Solve for x
    x = 76,126,792.87/9,678.61
  6. Step 6: Final answer
    x = 7,865.46

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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.