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Finding the Fourth Proportional to 9,639.18, 13,300.65 and 5,661.57

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Solution

The fourth proportional to 9,639.18, 13,300.65 and 5,661.57 is: 7,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.18 : 13,300.65 = 5,661.57 : x
  2. Step 2: Convert to fraction form
    9,639.18/13,300.65 = 5,661.57/x
  3. Step 3: Cross multiply
    9,639.18x = 13,300.65 × 5,661.57
  4. Step 4: Simplify right side
    9,639.18x = 75,302,632.13
  5. Step 5: Solve for x
    x = 75,302,632.13/9,639.18
  6. Step 6: Final answer
    x = 7,812.14

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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.