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Finding the Fourth Proportional to 9,602.55, 14,381.45 and 9,269.97

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Solution

The fourth proportional to 9,602.55, 14,381.45 and 9,269.97 is: 13,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.55 : 14,381.45 = 9,269.97 : x
  2. Step 2: Convert to fraction form
    9,602.55/14,381.45 = 9,269.97/x
  3. Step 3: Cross multiply
    9,602.55x = 14,381.45 × 9,269.97
  4. Step 4: Simplify right side
    9,602.55x = 133,315,563.71
  5. Step 5: Solve for x
    x = 133,315,563.71/9,602.55
  6. Step 6: Final answer
    x = 13,883.35

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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.