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Finding the Fourth Proportional to 9,377.64, 14,088.36 and 8,065.44

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Solution

The fourth proportional to 9,377.64, 14,088.36 and 8,065.44 is: 12,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.64 : 14,088.36 = 8,065.44 : x
  2. Step 2: Convert to fraction form
    9,377.64/14,088.36 = 8,065.44/x
  3. Step 3: Cross multiply
    9,377.64x = 14,088.36 × 8,065.44
  4. Step 4: Simplify right side
    9,377.64x = 113,628,822.28
  5. Step 5: Solve for x
    x = 113,628,822.28/9,377.64
  6. Step 6: Final answer
    x = 12,117.00

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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.