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Finding the Fourth Proportional to 9,941.32, 14,915.04 and 5,009.30

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Solution

The fourth proportional to 9,941.32, 14,915.04 and 5,009.30 is: 7,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.32 : 14,915.04 = 5,009.30 : x
  2. Step 2: Convert to fraction form
    9,941.32/14,915.04 = 5,009.30/x
  3. Step 3: Cross multiply
    9,941.32x = 14,915.04 × 5,009.30
  4. Step 4: Simplify right side
    9,941.32x = 74,713,909.87
  5. Step 5: Solve for x
    x = 74,713,909.87/9,941.32
  6. Step 6: Final answer
    x = 7,515.49

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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.