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Finding the Fourth Proportional to 9,473.48, 14,215.02 and 6,389

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Solution

The fourth proportional to 9,473.48, 14,215.02 and 6,389 is: 9,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.48 : 14,215.02 = 6,389 : x
  2. Step 2: Convert to fraction form
    9,473.48/14,215.02 = 6,389/x
  3. Step 3: Cross multiply
    9,473.48x = 14,215.02 × 6,389
  4. Step 4: Simplify right side
    9,473.48x = 90,819,762.78
  5. Step 5: Solve for x
    x = 90,819,762.78/9,473.48
  6. Step 6: Final answer
    x = 9,586.74

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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.