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Finding the Fourth Proportional to 9,700.79, 14,546.58 and 4,434.26

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Solution

The fourth proportional to 9,700.79, 14,546.58 and 4,434.26 is: 6,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.79 : 14,546.58 = 4,434.26 : x
  2. Step 2: Convert to fraction form
    9,700.79/14,546.58 = 4,434.26/x
  3. Step 3: Cross multiply
    9,700.79x = 14,546.58 × 4,434.26
  4. Step 4: Simplify right side
    9,700.79x = 64,503,317.83
  5. Step 5: Solve for x
    x = 64,503,317.83/9,700.79
  6. Step 6: Final answer
    x = 6,649.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.