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Finding the Fourth Proportional to 9,460.68, 14,190.66 and 2,535

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Solution

The fourth proportional to 9,460.68, 14,190.66 and 2,535 is: 3,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.68 : 14,190.66 = 2,535 : x
  2. Step 2: Convert to fraction form
    9,460.68/14,190.66 = 2,535/x
  3. Step 3: Cross multiply
    9,460.68x = 14,190.66 × 2,535
  4. Step 4: Simplify right side
    9,460.68x = 35,973,323.10
  5. Step 5: Solve for x
    x = 35,973,323.10/9,460.68
  6. Step 6: Final answer
    x = 3,802.40

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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.