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Finding the Fourth Proportional to 9,349.59, 14,008.93 and 8,384.88

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Solution

The fourth proportional to 9,349.59, 14,008.93 and 8,384.88 is: 12,563.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.59 : 14,008.93 = 8,384.88 : x
  2. Step 2: Convert to fraction form
    9,349.59/14,008.93 = 8,384.88/x
  3. Step 3: Cross multiply
    9,349.59x = 14,008.93 × 8,384.88
  4. Step 4: Simplify right side
    9,349.59x = 117,463,196.98
  5. Step 5: Solve for x
    x = 117,463,196.98/9,349.59
  6. Step 6: Final answer
    x = 12,563.46

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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.