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Finding the Fourth Proportional to 9,347.20, 14,009.70 and 4,962.40

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Solution

The fourth proportional to 9,347.20, 14,009.70 and 4,962.40 is: 7,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.20 : 14,009.70 = 4,962.40 : x
  2. Step 2: Convert to fraction form
    9,347.20/14,009.70 = 4,962.40/x
  3. Step 3: Cross multiply
    9,347.20x = 14,009.70 × 4,962.40
  4. Step 4: Simplify right side
    9,347.20x = 69,521,735.28
  5. Step 5: Solve for x
    x = 69,521,735.28/9,347.20
  6. Step 6: Final answer
    x = 7,437.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.