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Finding the Fourth Proportional to 9,737.95, 13,440.12 and 9,294.23

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Solution

The fourth proportional to 9,737.95, 13,440.12 and 9,294.23 is: 12,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.95 : 13,440.12 = 9,294.23 : x
  2. Step 2: Convert to fraction form
    9,737.95/13,440.12 = 9,294.23/x
  3. Step 3: Cross multiply
    9,737.95x = 13,440.12 × 9,294.23
  4. Step 4: Simplify right side
    9,737.95x = 124,915,566.51
  5. Step 5: Solve for x
    x = 124,915,566.51/9,737.95
  6. Step 6: Final answer
    x = 12,827.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.