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Finding the Fourth Proportional to 9,189.42, 12,669.93 and 7,602.66

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Solution

The fourth proportional to 9,189.42, 12,669.93 and 7,602.66 is: 10,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.42 : 12,669.93 = 7,602.66 : x
  2. Step 2: Convert to fraction form
    9,189.42/12,669.93 = 7,602.66/x
  3. Step 3: Cross multiply
    9,189.42x = 12,669.93 × 7,602.66
  4. Step 4: Simplify right side
    9,189.42x = 96,325,170.01
  5. Step 5: Solve for x
    x = 96,325,170.01/9,189.42
  6. Step 6: Final answer
    x = 10,482.18

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