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Finding the Fourth Proportional to 9,750.56, 13,458.48 and 5,773.04

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Solution

The fourth proportional to 9,750.56, 13,458.48 and 5,773.04 is: 7,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.56 : 13,458.48 = 5,773.04 : x
  2. Step 2: Convert to fraction form
    9,750.56/13,458.48 = 5,773.04/x
  3. Step 3: Cross multiply
    9,750.56x = 13,458.48 × 5,773.04
  4. Step 4: Simplify right side
    9,750.56x = 77,696,343.38
  5. Step 5: Solve for x
    x = 77,696,343.38/9,750.56
  6. Step 6: Final answer
    x = 7,968.40

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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.