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Finding the Fourth Proportional to 9,189.68, 12,681.81 and 5,210.06

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Solution

The fourth proportional to 9,189.68, 12,681.81 and 5,210.06 is: 7,189.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.68 : 12,681.81 = 5,210.06 : x
  2. Step 2: Convert to fraction form
    9,189.68/12,681.81 = 5,210.06/x
  3. Step 3: Cross multiply
    9,189.68x = 12,681.81 × 5,210.06
  4. Step 4: Simplify right side
    9,189.68x = 66,072,927.60
  5. Step 5: Solve for x
    x = 66,072,927.60/9,189.68
  6. Step 6: Final answer
    x = 7,189.91

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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.