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Finding the Fourth Proportional to 9,615.48, 14,423.56 and 4,934.22

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Solution

The fourth proportional to 9,615.48, 14,423.56 and 4,934.22 is: 7,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.48 : 14,423.56 = 4,934.22 : x
  2. Step 2: Convert to fraction form
    9,615.48/14,423.56 = 4,934.22/x
  3. Step 3: Cross multiply
    9,615.48x = 14,423.56 × 4,934.22
  4. Step 4: Simplify right side
    9,615.48x = 71,169,018.22
  5. Step 5: Solve for x
    x = 71,169,018.22/9,615.48
  6. Step 6: Final answer
    x = 7,401.50

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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.