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Finding the Fourth Proportional to 9,340, 14,005.44 and 4,405.48

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Solution

The fourth proportional to 9,340, 14,005.44 and 4,405.48 is: 6,606.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340 : 14,005.44 = 4,405.48 : x
  2. Step 2: Convert to fraction form
    9,340/14,005.44 = 4,405.48/x
  3. Step 3: Cross multiply
    9,340x = 14,005.44 × 4,405.48
  4. Step 4: Simplify right side
    9,340x = 61,700,685.81
  5. Step 5: Solve for x
    x = 61,700,685.81/9,340
  6. Step 6: Final answer
    x = 6,606.07

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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.