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Finding the Fourth Proportional to 9,435.66, 14,153.47 and 2,510.16

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Solution

The fourth proportional to 9,435.66, 14,153.47 and 2,510.16 is: 3,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.66 : 14,153.47 = 2,510.16 : x
  2. Step 2: Convert to fraction form
    9,435.66/14,153.47 = 2,510.16/x
  3. Step 3: Cross multiply
    9,435.66x = 14,153.47 × 2,510.16
  4. Step 4: Simplify right side
    9,435.66x = 35,527,474.26
  5. Step 5: Solve for x
    x = 35,527,474.26/9,435.66
  6. Step 6: Final answer
    x = 3,765.23

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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.