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Finding the Fourth Proportional to 9,553.50, 14,333.40 and 3,710.16

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Solution

The fourth proportional to 9,553.50, 14,333.40 and 3,710.16 is: 5,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.50 : 14,333.40 = 3,710.16 : x
  2. Step 2: Convert to fraction form
    9,553.50/14,333.40 = 3,710.16/x
  3. Step 3: Cross multiply
    9,553.50x = 14,333.40 × 3,710.16
  4. Step 4: Simplify right side
    9,553.50x = 53,179,207.34
  5. Step 5: Solve for x
    x = 53,179,207.34/9,553.50
  6. Step 6: Final answer
    x = 5,566.46

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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.