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Finding the Fourth Proportional to 6,742.84, 9,307.56 and 4,619.56

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Solution

The fourth proportional to 6,742.84, 9,307.56 and 4,619.56 is: 6,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.84 : 9,307.56 = 4,619.56 : x
  2. Step 2: Convert to fraction form
    6,742.84/9,307.56 = 4,619.56/x
  3. Step 3: Cross multiply
    6,742.84x = 9,307.56 × 4,619.56
  4. Step 4: Simplify right side
    6,742.84x = 42,996,831.87
  5. Step 5: Solve for x
    x = 42,996,831.87/6,742.84
  6. Step 6: Final answer
    x = 6,376.67

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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.