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Finding the Fourth Proportional to 6,864.79, 9,475.23 and 4,740.67

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Solution

The fourth proportional to 6,864.79, 9,475.23 and 4,740.67 is: 6,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.79 : 9,475.23 = 4,740.67 : x
  2. Step 2: Convert to fraction form
    6,864.79/9,475.23 = 4,740.67/x
  3. Step 3: Cross multiply
    6,864.79x = 9,475.23 × 4,740.67
  4. Step 4: Simplify right side
    6,864.79x = 44,918,938.60
  5. Step 5: Solve for x
    x = 44,918,938.60/6,864.79
  6. Step 6: Final answer
    x = 6,543.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.