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Finding the Fourth Proportional to 7,019, 9,685.76 and 3,875.16

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Solution

The fourth proportional to 7,019, 9,685.76 and 3,875.16 is: 5,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019 : 9,685.76 = 3,875.16 : x
  2. Step 2: Convert to fraction form
    7,019/9,685.76 = 3,875.16/x
  3. Step 3: Cross multiply
    7,019x = 9,685.76 × 3,875.16
  4. Step 4: Simplify right side
    7,019x = 37,533,869.72
  5. Step 5: Solve for x
    x = 37,533,869.72/7,019
  6. Step 6: Final answer
    x = 5,347.47

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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.