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Finding the Fourth Proportional to 9,472, 13,074.60 and 5,746

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Solution

The fourth proportional to 9,472, 13,074.60 and 5,746 is: 7,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472 : 13,074.60 = 5,746 : x
  2. Step 2: Convert to fraction form
    9,472/13,074.60 = 5,746/x
  3. Step 3: Cross multiply
    9,472x = 13,074.60 × 5,746
  4. Step 4: Simplify right side
    9,472x = 75,126,651.60
  5. Step 5: Solve for x
    x = 75,126,651.60/9,472
  6. Step 6: Final answer
    x = 7,931.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.