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Finding the Fourth Proportional to 9,490.57, 14,138.42 and 9,064.11

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Solution

The fourth proportional to 9,490.57, 14,138.42 and 9,064.11 is: 13,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.57 : 14,138.42 = 9,064.11 : x
  2. Step 2: Convert to fraction form
    9,490.57/14,138.42 = 9,064.11/x
  3. Step 3: Cross multiply
    9,490.57x = 14,138.42 × 9,064.11
  4. Step 4: Simplify right side
    9,490.57x = 128,152,194.11
  5. Step 5: Solve for x
    x = 128,152,194.11/9,490.57
  6. Step 6: Final answer
    x = 13,503.11

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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.