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Finding the Fourth Proportional to 8,714.32, 12,025.74 and 4,735.40

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Solution

The fourth proportional to 8,714.32, 12,025.74 and 4,735.40 is: 6,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.32 : 12,025.74 = 4,735.40 : x
  2. Step 2: Convert to fraction form
    8,714.32/12,025.74 = 4,735.40/x
  3. Step 3: Cross multiply
    8,714.32x = 12,025.74 × 4,735.40
  4. Step 4: Simplify right side
    8,714.32x = 56,946,689.20
  5. Step 5: Solve for x
    x = 56,946,689.20/8,714.32
  6. Step 6: Final answer
    x = 6,534.84

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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.