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Finding the Fourth Proportional to 35,641.38, 53,460 and 9,346.14

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Solution

The fourth proportional to 35,641.38, 53,460 and 9,346.14 is: 14,018.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,641.38 : 53,460 = 9,346.14 : x
  2. Step 2: Convert to fraction form
    35,641.38/53,460 = 9,346.14/x
  3. Step 3: Cross multiply
    35,641.38x = 53,460 × 9,346.14
  4. Step 4: Simplify right side
    35,641.38x = 499,644,644.40
  5. Step 5: Solve for x
    x = 499,644,644.40/35,641.38
  6. Step 6: Final answer
    x = 14,018.67

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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.