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Finding the Fourth Proportional to 9,349.01, 14,014.64 and 3,730.14

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Solution

The fourth proportional to 9,349.01, 14,014.64 and 3,730.14 is: 5,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.01 : 14,014.64 = 3,730.14 : x
  2. Step 2: Convert to fraction form
    9,349.01/14,014.64 = 3,730.14/x
  3. Step 3: Cross multiply
    9,349.01x = 14,014.64 × 3,730.14
  4. Step 4: Simplify right side
    9,349.01x = 52,276,526.02
  5. Step 5: Solve for x
    x = 52,276,526.02/9,349.01
  6. Step 6: Final answer
    x = 5,591.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.