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Finding the Fourth Proportional to 9,851.04, 14,778 and 3,275.64

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Solution

The fourth proportional to 9,851.04, 14,778 and 3,275.64 is: 4,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.04 : 14,778 = 3,275.64 : x
  2. Step 2: Convert to fraction form
    9,851.04/14,778 = 3,275.64/x
  3. Step 3: Cross multiply
    9,851.04x = 14,778 × 3,275.64
  4. Step 4: Simplify right side
    9,851.04x = 48,407,407.92
  5. Step 5: Solve for x
    x = 48,407,407.92/9,851.04
  6. Step 6: Final answer
    x = 4,913.94

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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.