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Finding the Fourth Proportional to 9,605.29, 14,385.96 and 9,277.24

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Solution

The fourth proportional to 9,605.29, 14,385.96 and 9,277.24 is: 13,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.29 : 14,385.96 = 9,277.24 : x
  2. Step 2: Convert to fraction form
    9,605.29/14,385.96 = 9,277.24/x
  3. Step 3: Cross multiply
    9,605.29x = 14,385.96 × 9,277.24
  4. Step 4: Simplify right side
    9,605.29x = 133,462,003.55
  5. Step 5: Solve for x
    x = 133,462,003.55/9,605.29
  6. Step 6: Final answer
    x = 13,894.64

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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.