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Finding the Fourth Proportional to 9,435.84, 14,154.48 and 2,510.16

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Solution

The fourth proportional to 9,435.84, 14,154.48 and 2,510.16 is: 3,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.84 : 14,154.48 = 2,510.16 : x
  2. Step 2: Convert to fraction form
    9,435.84/14,154.48 = 2,510.16/x
  3. Step 3: Cross multiply
    9,435.84x = 14,154.48 × 2,510.16
  4. Step 4: Simplify right side
    9,435.84x = 35,530,009.52
  5. Step 5: Solve for x
    x = 35,530,009.52/9,435.84
  6. Step 6: Final answer
    x = 3,765.43

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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.