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Finding the Fourth Proportional to 9,482.50, 14,205.93 and 8,766.46

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Solution

The fourth proportional to 9,482.50, 14,205.93 and 8,766.46 is: 13,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.50 : 14,205.93 = 8,766.46 : x
  2. Step 2: Convert to fraction form
    9,482.50/14,205.93 = 8,766.46/x
  3. Step 3: Cross multiply
    9,482.50x = 14,205.93 × 8,766.46
  4. Step 4: Simplify right side
    9,482.50x = 124,535,717.11
  5. Step 5: Solve for x
    x = 124,535,717.11/9,482.50
  6. Step 6: Final answer
    x = 13,133.22

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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.