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Finding the Fourth Proportional to 9,641.75, 14,460.59 and 2,714.63

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Solution

The fourth proportional to 9,641.75, 14,460.59 and 2,714.63 is: 4,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.75 : 14,460.59 = 2,714.63 : x
  2. Step 2: Convert to fraction form
    9,641.75/14,460.59 = 2,714.63/x
  3. Step 3: Cross multiply
    9,641.75x = 14,460.59 × 2,714.63
  4. Step 4: Simplify right side
    9,641.75x = 39,255,085.92
  5. Step 5: Solve for x
    x = 39,255,085.92/9,641.75
  6. Step 6: Final answer
    x = 4,071.37

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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.