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Finding the Fourth Proportional to 9,352.40, 14,012.40 and 8,056.40

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Solution

The fourth proportional to 9,352.40, 14,012.40 and 8,056.40 is: 12,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.40 : 14,012.40 = 8,056.40 : x
  2. Step 2: Convert to fraction form
    9,352.40/14,012.40 = 8,056.40/x
  3. Step 3: Cross multiply
    9,352.40x = 14,012.40 × 8,056.40
  4. Step 4: Simplify right side
    9,352.40x = 112,889,499.36
  5. Step 5: Solve for x
    x = 112,889,499.36/9,352.40
  6. Step 6: Final answer
    x = 12,070.64

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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.