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Finding the Fourth Proportional to 6,485.96, 8,938.14 and 4,714.76

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Solution

The fourth proportional to 6,485.96, 8,938.14 and 4,714.76 is: 6,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.96 : 8,938.14 = 4,714.76 : x
  2. Step 2: Convert to fraction form
    6,485.96/8,938.14 = 4,714.76/x
  3. Step 3: Cross multiply
    6,485.96x = 8,938.14 × 4,714.76
  4. Step 4: Simplify right side
    6,485.96x = 42,141,184.95
  5. Step 5: Solve for x
    x = 42,141,184.95/6,485.96
  6. Step 6: Final answer
    x = 6,497.29

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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.