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Finding the Fourth Proportional to 9,357.54, 12,904.96 and 7,229.86

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Solution

The fourth proportional to 9,357.54, 12,904.96 and 7,229.86 is: 9,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.54 : 12,904.96 = 7,229.86 : x
  2. Step 2: Convert to fraction form
    9,357.54/12,904.96 = 7,229.86/x
  3. Step 3: Cross multiply
    9,357.54x = 12,904.96 × 7,229.86
  4. Step 4: Simplify right side
    9,357.54x = 93,301,054.11
  5. Step 5: Solve for x
    x = 93,301,054.11/9,357.54
  6. Step 6: Final answer
    x = 9,970.68

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1.5x scale

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.