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Finding the Fourth Proportional to 9,637.80, 13,288.50 and 7,402.20

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Solution

The fourth proportional to 9,637.80, 13,288.50 and 7,402.20 is: 10,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.80 : 13,288.50 = 7,402.20 : x
  2. Step 2: Convert to fraction form
    9,637.80/13,288.50 = 7,402.20/x
  3. Step 3: Cross multiply
    9,637.80x = 13,288.50 × 7,402.20
  4. Step 4: Simplify right side
    9,637.80x = 98,364,134.70
  5. Step 5: Solve for x
    x = 98,364,134.70/9,637.80
  6. Step 6: Final answer
    x = 10,206.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.