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Finding the Fourth Proportional to 9,274, 12,798.80 and 5,295.24

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Solution

The fourth proportional to 9,274, 12,798.80 and 5,295.24 is: 7,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274 : 12,798.80 = 5,295.24 : x
  2. Step 2: Convert to fraction form
    9,274/12,798.80 = 5,295.24/x
  3. Step 3: Cross multiply
    9,274x = 12,798.80 × 5,295.24
  4. Step 4: Simplify right side
    9,274x = 67,772,717.71
  5. Step 5: Solve for x
    x = 67,772,717.71/9,274
  6. Step 6: Final answer
    x = 7,307.82

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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.