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Finding the Fourth Proportional to 9,509.70, 14,266.72 and 4,583.48

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Solution

The fourth proportional to 9,509.70, 14,266.72 and 4,583.48 is: 6,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.70 : 14,266.72 = 4,583.48 : x
  2. Step 2: Convert to fraction form
    9,509.70/14,266.72 = 4,583.48/x
  3. Step 3: Cross multiply
    9,509.70x = 14,266.72 × 4,583.48
  4. Step 4: Simplify right side
    9,509.70x = 65,391,225.79
  5. Step 5: Solve for x
    x = 65,391,225.79/9,509.70
  6. Step 6: Final answer
    x = 6,876.27

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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.