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Finding the Fourth Proportional to 6,270.59, 9,397.76 and 4,698.20

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Solution

The fourth proportional to 6,270.59, 9,397.76 and 4,698.20 is: 7,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.59 : 9,397.76 = 4,698.20 : x
  2. Step 2: Convert to fraction form
    6,270.59/9,397.76 = 4,698.20/x
  3. Step 3: Cross multiply
    6,270.59x = 9,397.76 × 4,698.20
  4. Step 4: Simplify right side
    6,270.59x = 44,152,485.55
  5. Step 5: Solve for x
    x = 44,152,485.55/6,270.59
  6. Step 6: Final answer
    x = 7,041.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.