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Finding the Fourth Proportional to 7,106.59, 9,807.17 and 3,920.02

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Solution

The fourth proportional to 7,106.59, 9,807.17 and 3,920.02 is: 5,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.59 : 9,807.17 = 3,920.02 : x
  2. Step 2: Convert to fraction form
    7,106.59/9,807.17 = 3,920.02/x
  3. Step 3: Cross multiply
    7,106.59x = 9,807.17 × 3,920.02
  4. Step 4: Simplify right side
    7,106.59x = 38,444,313.59
  5. Step 5: Solve for x
    x = 38,444,313.59/7,106.59
  6. Step 6: Final answer
    x = 5,409.67

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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.