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Finding the Fourth Proportional to 9,423.22, 13,004.14 and 5,888.48

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Solution

The fourth proportional to 9,423.22, 13,004.14 and 5,888.48 is: 8,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.22 : 13,004.14 = 5,888.48 : x
  2. Step 2: Convert to fraction form
    9,423.22/13,004.14 = 5,888.48/x
  3. Step 3: Cross multiply
    9,423.22x = 13,004.14 × 5,888.48
  4. Step 4: Simplify right side
    9,423.22x = 76,574,618.31
  5. Step 5: Solve for x
    x = 76,574,618.31/9,423.22
  6. Step 6: Final answer
    x = 8,126.16

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1.5x scale

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.