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Finding the Fourth Proportional to 9,632.76, 14,378.24 and 8,929.32

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Solution

The fourth proportional to 9,632.76, 14,378.24 and 8,929.32 is: 13,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.76 : 14,378.24 = 8,929.32 : x
  2. Step 2: Convert to fraction form
    9,632.76/14,378.24 = 8,929.32/x
  3. Step 3: Cross multiply
    9,632.76x = 14,378.24 × 8,929.32
  4. Step 4: Simplify right side
    9,632.76x = 128,387,906.00
  5. Step 5: Solve for x
    x = 128,387,906.00/9,632.76
  6. Step 6: Final answer
    x = 13,328.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.