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Finding the Fourth Proportional to 9,413, 14,119.50 and 5,309

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Solution

The fourth proportional to 9,413, 14,119.50 and 5,309 is: 7,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413 : 14,119.50 = 5,309 : x
  2. Step 2: Convert to fraction form
    9,413/14,119.50 = 5,309/x
  3. Step 3: Cross multiply
    9,413x = 14,119.50 × 5,309
  4. Step 4: Simplify right side
    9,413x = 74,960,425.50
  5. Step 5: Solve for x
    x = 74,960,425.50/9,413
  6. Step 6: Final answer
    x = 7,963.50

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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.