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Finding the Fourth Proportional to 9,363.72, 14,038.14 and 5,205.16

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Solution

The fourth proportional to 9,363.72, 14,038.14 and 5,205.16 is: 7,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.72 : 14,038.14 = 5,205.16 : x
  2. Step 2: Convert to fraction form
    9,363.72/14,038.14 = 5,205.16/x
  3. Step 3: Cross multiply
    9,363.72x = 14,038.14 × 5,205.16
  4. Step 4: Simplify right side
    9,363.72x = 73,070,764.80
  5. Step 5: Solve for x
    x = 73,070,764.80/9,363.72
  6. Step 6: Final answer
    x = 7,803.60

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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.