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Finding the Fourth Proportional to 9,969.78, 14,929.98 and 5,797.14

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Solution

The fourth proportional to 9,969.78, 14,929.98 and 5,797.14 is: 8,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.78 : 14,929.98 = 5,797.14 : x
  2. Step 2: Convert to fraction form
    9,969.78/14,929.98 = 5,797.14/x
  3. Step 3: Cross multiply
    9,969.78x = 14,929.98 × 5,797.14
  4. Step 4: Simplify right side
    9,969.78x = 86,551,184.26
  5. Step 5: Solve for x
    x = 86,551,184.26/9,969.78
  6. Step 6: Final answer
    x = 8,681.35

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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.