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Finding the Fourth Proportional to 9,605.70, 14,386.39 and 9,273.24

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Solution

The fourth proportional to 9,605.70, 14,386.39 and 9,273.24 is: 13,888.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.70 : 14,386.39 = 9,273.24 : x
  2. Step 2: Convert to fraction form
    9,605.70/14,386.39 = 9,273.24/x
  3. Step 3: Cross multiply
    9,605.70x = 14,386.39 × 9,273.24
  4. Step 4: Simplify right side
    9,605.70x = 133,408,424.02
  5. Step 5: Solve for x
    x = 133,408,424.02/9,605.70
  6. Step 6: Final answer
    x = 13,888.46

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1.5x scale

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.