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Finding the Fourth Proportional to 9,189.42, 12,681.70 and 5,210.70

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Solution

The fourth proportional to 9,189.42, 12,681.70 and 5,210.70 is: 7,190.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.42 : 12,681.70 = 5,210.70 : x
  2. Step 2: Convert to fraction form
    9,189.42/12,681.70 = 5,210.70/x
  3. Step 3: Cross multiply
    9,189.42x = 12,681.70 × 5,210.70
  4. Step 4: Simplify right side
    9,189.42x = 66,080,534.19
  5. Step 5: Solve for x
    x = 66,080,534.19/9,189.42
  6. Step 6: Final answer
    x = 7,190.94

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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.