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Finding the Fourth Proportional to 10,332, 14,295.69 and 9,008.46

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Solution

The fourth proportional to 10,332, 14,295.69 and 9,008.46 is: 12,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 14,295.69 = 9,008.46 : x
  2. Step 2: Convert to fraction form
    10,332/14,295.69 = 9,008.46/x
  3. Step 3: Cross multiply
    10,332x = 14,295.69 × 9,008.46
  4. Step 4: Simplify right side
    10,332x = 128,782,151.54
  5. Step 5: Solve for x
    x = 128,782,151.54/10,332
  6. Step 6: Final answer
    x = 12,464.40

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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.