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Finding the Fourth Proportional to 9,347.70, 14,021.55 and 9,282.90

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Solution

The fourth proportional to 9,347.70, 14,021.55 and 9,282.90 is: 13,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.70 : 14,021.55 = 9,282.90 : x
  2. Step 2: Convert to fraction form
    9,347.70/14,021.55 = 9,282.90/x
  3. Step 3: Cross multiply
    9,347.70x = 14,021.55 × 9,282.90
  4. Step 4: Simplify right side
    9,347.70x = 130,160,646.50
  5. Step 5: Solve for x
    x = 130,160,646.50/9,347.70
  6. Step 6: Final answer
    x = 13,924.35

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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.