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Finding the Fourth Proportional to 9,493.06, 14,154.10 and 8,702.67

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Solution

The fourth proportional to 9,493.06, 14,154.10 and 8,702.67 is: 12,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.06 : 14,154.10 = 8,702.67 : x
  2. Step 2: Convert to fraction form
    9,493.06/14,154.10 = 8,702.67/x
  3. Step 3: Cross multiply
    9,493.06x = 14,154.10 × 8,702.67
  4. Step 4: Simplify right side
    9,493.06x = 123,178,434.53
  5. Step 5: Solve for x
    x = 123,178,434.53/9,493.06
  6. Step 6: Final answer
    x = 12,975.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.