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Finding the Fourth Proportional to 9,352.94, 14,032.14 and 3,510

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Solution

The fourth proportional to 9,352.94, 14,032.14 and 3,510 is: 5,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.94 : 14,032.14 = 3,510 : x
  2. Step 2: Convert to fraction form
    9,352.94/14,032.14 = 3,510/x
  3. Step 3: Cross multiply
    9,352.94x = 14,032.14 × 3,510
  4. Step 4: Simplify right side
    9,352.94x = 49,252,798.24
  5. Step 5: Solve for x
    x = 49,252,798.24/9,352.94
  6. Step 6: Final answer
    x = 5,266.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.