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Finding the Fourth Proportional to 9,435.40, 14,153.10 and 2,415.40

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Solution

The fourth proportional to 9,435.40, 14,153.10 and 2,415.40 is: 3,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.40 : 14,153.10 = 2,415.40 : x
  2. Step 2: Convert to fraction form
    9,435.40/14,153.10 = 2,415.40/x
  3. Step 3: Cross multiply
    9,435.40x = 14,153.10 × 2,415.40
  4. Step 4: Simplify right side
    9,435.40x = 34,185,397.74
  5. Step 5: Solve for x
    x = 34,185,397.74/9,435.40
  6. Step 6: Final answer
    x = 3,623.10

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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.