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Finding the Fourth Proportional to 9,810.32, 14,714.68 and 3,236.40

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Solution

The fourth proportional to 9,810.32, 14,714.68 and 3,236.40 is: 4,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.32 : 14,714.68 = 3,236.40 : x
  2. Step 2: Convert to fraction form
    9,810.32/14,714.68 = 3,236.40/x
  3. Step 3: Cross multiply
    9,810.32x = 14,714.68 × 3,236.40
  4. Step 4: Simplify right side
    9,810.32x = 47,622,590.35
  5. Step 5: Solve for x
    x = 47,622,590.35/9,810.32
  6. Step 6: Final answer
    x = 4,854.34

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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.