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Finding the Fourth Proportional to 9,714.10, 14,549.55 and 5,091.70

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Solution

The fourth proportional to 9,714.10, 14,549.55 and 5,091.70 is: 7,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.10 : 14,549.55 = 5,091.70 : x
  2. Step 2: Convert to fraction form
    9,714.10/14,549.55 = 5,091.70/x
  3. Step 3: Cross multiply
    9,714.10x = 14,549.55 × 5,091.70
  4. Step 4: Simplify right side
    9,714.10x = 74,081,943.74
  5. Step 5: Solve for x
    x = 74,081,943.74/9,714.10
  6. Step 6: Final answer
    x = 7,626.23

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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.