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Finding the Fourth Proportional to 9,714.39, 14,567.93 and 3,138.81

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Solution

The fourth proportional to 9,714.39, 14,567.93 and 3,138.81 is: 4,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.39 : 14,567.93 = 3,138.81 : x
  2. Step 2: Convert to fraction form
    9,714.39/14,567.93 = 3,138.81/x
  3. Step 3: Cross multiply
    9,714.39x = 14,567.93 × 3,138.81
  4. Step 4: Simplify right side
    9,714.39x = 45,725,948.67
  5. Step 5: Solve for x
    x = 45,725,948.67/9,714.39
  6. Step 6: Final answer
    x = 4,707.03

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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.