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Finding the Fourth Proportional to 9,342.42, 14,018.31 and 4,411.50

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Solution

The fourth proportional to 9,342.42, 14,018.31 and 4,411.50 is: 6,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.42 : 14,018.31 = 4,411.50 : x
  2. Step 2: Convert to fraction form
    9,342.42/14,018.31 = 4,411.50/x
  3. Step 3: Cross multiply
    9,342.42x = 14,018.31 × 4,411.50
  4. Step 4: Simplify right side
    9,342.42x = 61,841,774.57
  5. Step 5: Solve for x
    x = 61,841,774.57/9,342.42
  6. Step 6: Final answer
    x = 6,619.46

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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.