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Finding the Fourth Proportional to 9,714.93, 14,567.37 and 3,140.26

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Solution

The fourth proportional to 9,714.93, 14,567.37 and 3,140.26 is: 4,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.93 : 14,567.37 = 3,140.26 : x
  2. Step 2: Convert to fraction form
    9,714.93/14,567.37 = 3,140.26/x
  3. Step 3: Cross multiply
    9,714.93x = 14,567.37 × 3,140.26
  4. Step 4: Simplify right side
    9,714.93x = 45,745,256.48
  5. Step 5: Solve for x
    x = 45,745,256.48/9,714.93
  6. Step 6: Final answer
    x = 4,708.76

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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.