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Finding the Fourth Proportional to 6,276.86, 8,657.24 and 4,597.68

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Solution

The fourth proportional to 6,276.86, 8,657.24 and 4,597.68 is: 6,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.86 : 8,657.24 = 4,597.68 : x
  2. Step 2: Convert to fraction form
    6,276.86/8,657.24 = 4,597.68/x
  3. Step 3: Cross multiply
    6,276.86x = 8,657.24 × 4,597.68
  4. Step 4: Simplify right side
    6,276.86x = 39,803,219.20
  5. Step 5: Solve for x
    x = 39,803,219.20/6,276.86
  6. Step 6: Final answer
    x = 6,341.26

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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.