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Finding the Fourth Proportional to 9,503.44, 14,256.50 and 2,930.16

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Solution

The fourth proportional to 9,503.44, 14,256.50 and 2,930.16 is: 4,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.44 : 14,256.50 = 2,930.16 : x
  2. Step 2: Convert to fraction form
    9,503.44/14,256.50 = 2,930.16/x
  3. Step 3: Cross multiply
    9,503.44x = 14,256.50 × 2,930.16
  4. Step 4: Simplify right side
    9,503.44x = 41,773,826.04
  5. Step 5: Solve for x
    x = 41,773,826.04/9,503.44
  6. Step 6: Final answer
    x = 4,395.65

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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.