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Finding the Fourth Proportional to 9,814.47, 14,725.60 and 3,574.88

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Solution

The fourth proportional to 9,814.47, 14,725.60 and 3,574.88 is: 5,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.47 : 14,725.60 = 3,574.88 : x
  2. Step 2: Convert to fraction form
    9,814.47/14,725.60 = 3,574.88/x
  3. Step 3: Cross multiply
    9,814.47x = 14,725.60 × 3,574.88
  4. Step 4: Simplify right side
    9,814.47x = 52,642,308.42
  5. Step 5: Solve for x
    x = 52,642,308.42/9,814.47
  6. Step 6: Final answer
    x = 5,363.75

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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.