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Finding the Fourth Proportional to 9,814.65, 14,714.24 and 4,881.60

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Solution

The fourth proportional to 9,814.65, 14,714.24 and 4,881.60 is: 7,318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.65 : 14,714.24 = 4,881.60 : x
  2. Step 2: Convert to fraction form
    9,814.65/14,714.24 = 4,881.60/x
  3. Step 3: Cross multiply
    9,814.65x = 14,714.24 × 4,881.60
  4. Step 4: Simplify right side
    9,814.65x = 71,829,037.17
  5. Step 5: Solve for x
    x = 71,829,037.17/9,814.65
  6. Step 6: Final answer
    x = 7,318.55

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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.