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Finding the Fourth Proportional to 9,534, 14,303.16 and 3,378

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Solution

The fourth proportional to 9,534, 14,303.16 and 3,378 is: 5,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 14,303.16 = 3,378 : x
  2. Step 2: Convert to fraction form
    9,534/14,303.16 = 3,378/x
  3. Step 3: Cross multiply
    9,534x = 14,303.16 × 3,378
  4. Step 4: Simplify right side
    9,534x = 48,316,074.48
  5. Step 5: Solve for x
    x = 48,316,074.48/9,534
  6. Step 6: Final answer
    x = 5,067.77

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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.