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Finding the Fourth Proportional to 9,755.52, 14,706.16 and 8,925.20

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Solution

The fourth proportional to 9,755.52, 14,706.16 and 8,925.20 is: 13,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.52 : 14,706.16 = 8,925.20 : x
  2. Step 2: Convert to fraction form
    9,755.52/14,706.16 = 8,925.20/x
  3. Step 3: Cross multiply
    9,755.52x = 14,706.16 × 8,925.20
  4. Step 4: Simplify right side
    9,755.52x = 131,255,419.23
  5. Step 5: Solve for x
    x = 131,255,419.23/9,755.52
  6. Step 6: Final answer
    x = 13,454.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.