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Finding the Fourth Proportional to 9,678.16, 13,356.30 and 5,699.44

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Solution

The fourth proportional to 9,678.16, 13,356.30 and 5,699.44 is: 7,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.16 : 13,356.30 = 5,699.44 : x
  2. Step 2: Convert to fraction form
    9,678.16/13,356.30 = 5,699.44/x
  3. Step 3: Cross multiply
    9,678.16x = 13,356.30 × 5,699.44
  4. Step 4: Simplify right side
    9,678.16x = 76,123,430.47
  5. Step 5: Solve for x
    x = 76,123,430.47/9,678.16
  6. Step 6: Final answer
    x = 7,865.49

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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.