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Finding the Fourth Proportional to 9,290.60, 12,821.03 and 5,041.64

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Solution

The fourth proportional to 9,290.60, 12,821.03 and 5,041.64 is: 6,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.60 : 12,821.03 = 5,041.64 : x
  2. Step 2: Convert to fraction form
    9,290.60/12,821.03 = 5,041.64/x
  3. Step 3: Cross multiply
    9,290.60x = 12,821.03 × 5,041.64
  4. Step 4: Simplify right side
    9,290.60x = 64,639,071.80
  5. Step 5: Solve for x
    x = 64,639,071.80/9,290.60
  6. Step 6: Final answer
    x = 6,957.47

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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.