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Finding the Fourth Proportional to 9,952.95, 14,931.65 and 3,289.21

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Solution

The fourth proportional to 9,952.95, 14,931.65 and 3,289.21 is: 4,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.95 : 14,931.65 = 3,289.21 : x
  2. Step 2: Convert to fraction form
    9,952.95/14,931.65 = 3,289.21/x
  3. Step 3: Cross multiply
    9,952.95x = 14,931.65 × 3,289.21
  4. Step 4: Simplify right side
    9,952.95x = 49,113,332.50
  5. Step 5: Solve for x
    x = 49,113,332.50/9,952.95
  6. Step 6: Final answer
    x = 4,934.55

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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.