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Finding the Fourth Proportional to 9,957.79, 14,936.14 and 3,031.75

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Solution

The fourth proportional to 9,957.79, 14,936.14 and 3,031.75 is: 4,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.79 : 14,936.14 = 3,031.75 : x
  2. Step 2: Convert to fraction form
    9,957.79/14,936.14 = 3,031.75/x
  3. Step 3: Cross multiply
    9,957.79x = 14,936.14 × 3,031.75
  4. Step 4: Simplify right side
    9,957.79x = 45,282,642.45
  5. Step 5: Solve for x
    x = 45,282,642.45/9,957.79
  6. Step 6: Final answer
    x = 4,547.46

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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.