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Finding the Fourth Proportional to 9,501.48, 14,251.26 and 3,345

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Solution

The fourth proportional to 9,501.48, 14,251.26 and 3,345 is: 5,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.48 : 14,251.26 = 3,345 : x
  2. Step 2: Convert to fraction form
    9,501.48/14,251.26 = 3,345/x
  3. Step 3: Cross multiply
    9,501.48x = 14,251.26 × 3,345
  4. Step 4: Simplify right side
    9,501.48x = 47,670,464.70
  5. Step 5: Solve for x
    x = 47,670,464.70/9,501.48
  6. Step 6: Final answer
    x = 5,017.16

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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.