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Finding the Fourth Proportional to 9,409.32, 14,148.54 and 9,029.16

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Solution

The fourth proportional to 9,409.32, 14,148.54 and 9,029.16 is: 13,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.32 : 14,148.54 = 9,029.16 : x
  2. Step 2: Convert to fraction form
    9,409.32/14,148.54 = 9,029.16/x
  3. Step 3: Cross multiply
    9,409.32x = 14,148.54 × 9,029.16
  4. Step 4: Simplify right side
    9,409.32x = 127,749,431.43
  5. Step 5: Solve for x
    x = 127,749,431.43/9,409.32
  6. Step 6: Final answer
    x = 13,576.90

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1.5x scale

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.