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Finding the Fourth Proportional to 9,445.12, 13,007.04 and 9,416.32

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Solution

The fourth proportional to 9,445.12, 13,007.04 and 9,416.32 is: 12,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.12 : 13,007.04 = 9,416.32 : x
  2. Step 2: Convert to fraction form
    9,445.12/13,007.04 = 9,416.32/x
  3. Step 3: Cross multiply
    9,445.12x = 13,007.04 × 9,416.32
  4. Step 4: Simplify right side
    9,445.12x = 122,478,450.89
  5. Step 5: Solve for x
    x = 122,478,450.89/9,445.12
  6. Step 6: Final answer
    x = 12,967.38

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Half scale
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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.