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Finding the Fourth Proportional to 9,523.44, 14,267.88 and 9,316.08

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Solution

The fourth proportional to 9,523.44, 14,267.88 and 9,316.08 is: 13,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.44 : 14,267.88 = 9,316.08 : x
  2. Step 2: Convert to fraction form
    9,523.44/14,267.88 = 9,316.08/x
  3. Step 3: Cross multiply
    9,523.44x = 14,267.88 × 9,316.08
  4. Step 4: Simplify right side
    9,523.44x = 132,920,711.51
  5. Step 5: Solve for x
    x = 132,920,711.51/9,523.44
  6. Step 6: Final answer
    x = 13,957.22

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1.5x scale

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.