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Finding the Fourth Proportional to 9,660.51, 14,450.72 and 9,070.02

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Solution

The fourth proportional to 9,660.51, 14,450.72 and 9,070.02 is: 13,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.51 : 14,450.72 = 9,070.02 : x
  2. Step 2: Convert to fraction form
    9,660.51/14,450.72 = 9,070.02/x
  3. Step 3: Cross multiply
    9,660.51x = 14,450.72 × 9,070.02
  4. Step 4: Simplify right side
    9,660.51x = 131,068,274.06
  5. Step 5: Solve for x
    x = 131,068,274.06/9,660.51
  6. Step 6: Final answer
    x = 13,567.43

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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.