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Finding the Fourth Proportional to 6,688.48, 9,222.80 and 4,564.24

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Solution

The fourth proportional to 6,688.48, 9,222.80 and 4,564.24 is: 6,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.48 : 9,222.80 = 4,564.24 : x
  2. Step 2: Convert to fraction form
    6,688.48/9,222.80 = 4,564.24/x
  3. Step 3: Cross multiply
    6,688.48x = 9,222.80 × 4,564.24
  4. Step 4: Simplify right side
    6,688.48x = 42,095,072.67
  5. Step 5: Solve for x
    x = 42,095,072.67/6,688.48
  6. Step 6: Final answer
    x = 6,293.67

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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.