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Finding the Fourth Proportional to 9,569.02, 14,353.51 and 2,643.50

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Solution

The fourth proportional to 9,569.02, 14,353.51 and 2,643.50 is: 3,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.02 : 14,353.51 = 2,643.50 : x
  2. Step 2: Convert to fraction form
    9,569.02/14,353.51 = 2,643.50/x
  3. Step 3: Cross multiply
    9,569.02x = 14,353.51 × 2,643.50
  4. Step 4: Simplify right side
    9,569.02x = 37,943,503.69
  5. Step 5: Solve for x
    x = 37,943,503.69/9,569.02
  6. Step 6: Final answer
    x = 3,965.24

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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.