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Finding the Fourth Proportional to 9,755.34, 13,457.98 and 6,606.06

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Solution

The fourth proportional to 9,755.34, 13,457.98 and 6,606.06 is: 9,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.34 : 13,457.98 = 6,606.06 : x
  2. Step 2: Convert to fraction form
    9,755.34/13,457.98 = 6,606.06/x
  3. Step 3: Cross multiply
    9,755.34x = 13,457.98 × 6,606.06
  4. Step 4: Simplify right side
    9,755.34x = 88,904,223.36
  5. Step 5: Solve for x
    x = 88,904,223.36/9,755.34
  6. Step 6: Final answer
    x = 9,113.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.