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Finding the Fourth Proportional to 9,434.00, 13,020.53 and 5,457.53

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Solution

The fourth proportional to 9,434.00, 13,020.53 and 5,457.53 is: 7,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.00 : 13,020.53 = 5,457.53 : x
  2. Step 2: Convert to fraction form
    9,434.00/13,020.53 = 5,457.53/x
  3. Step 3: Cross multiply
    9,434.00x = 13,020.53 × 5,457.53
  4. Step 4: Simplify right side
    9,434.00x = 71,059,840.70
  5. Step 5: Solve for x
    x = 71,059,840.70/9,434.00
  6. Step 6: Final answer
    x = 7,532.32

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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.