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Finding the Fourth Proportional to 9,678.90, 13,356.36 and 5,699.10

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Solution

The fourth proportional to 9,678.90, 13,356.36 and 5,699.10 is: 7,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.90 : 13,356.36 = 5,699.10 : x
  2. Step 2: Convert to fraction form
    9,678.90/13,356.36 = 5,699.10/x
  3. Step 3: Cross multiply
    9,678.90x = 13,356.36 × 5,699.10
  4. Step 4: Simplify right side
    9,678.90x = 76,119,231.28
  5. Step 5: Solve for x
    x = 76,119,231.28/9,678.90
  6. Step 6: Final answer
    x = 7,864.45

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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.