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Finding the Fourth Proportional to 9,303.21, 12,835.54 and 5,714.41

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Solution

The fourth proportional to 9,303.21, 12,835.54 and 5,714.41 is: 7,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.21 : 12,835.54 = 5,714.41 : x
  2. Step 2: Convert to fraction form
    9,303.21/12,835.54 = 5,714.41/x
  3. Step 3: Cross multiply
    9,303.21x = 12,835.54 × 5,714.41
  4. Step 4: Simplify right side
    9,303.21x = 73,347,491.76
  5. Step 5: Solve for x
    x = 73,347,491.76/9,303.21
  6. Step 6: Final answer
    x = 7,884.10

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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.