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Finding the Fourth Proportional to 9,678.87, 13,358.57 and 5,699.70

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Solution

The fourth proportional to 9,678.87, 13,358.57 and 5,699.70 is: 7,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.87 : 13,358.57 = 5,699.70 : x
  2. Step 2: Convert to fraction form
    9,678.87/13,358.57 = 5,699.70/x
  3. Step 3: Cross multiply
    9,678.87x = 13,358.57 × 5,699.70
  4. Step 4: Simplify right side
    9,678.87x = 76,139,812.93
  5. Step 5: Solve for x
    x = 76,139,812.93/9,678.87
  6. Step 6: Final answer
    x = 7,866.60

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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.