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Finding the Fourth Proportional to 9,343, 14,030.36 and 6,242.92

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Solution

The fourth proportional to 9,343, 14,030.36 and 6,242.92 is: 9,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343 : 14,030.36 = 6,242.92 : x
  2. Step 2: Convert to fraction form
    9,343/14,030.36 = 6,242.92/x
  3. Step 3: Cross multiply
    9,343x = 14,030.36 × 6,242.92
  4. Step 4: Simplify right side
    9,343x = 87,590,415.05
  5. Step 5: Solve for x
    x = 87,590,415.05/9,343
  6. Step 6: Final answer
    x = 9,374.98

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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.