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Finding the Fourth Proportional to 9,735.88, 13,430.80 and 6,377.20

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Solution

The fourth proportional to 9,735.88, 13,430.80 and 6,377.20 is: 8,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.88 : 13,430.80 = 6,377.20 : x
  2. Step 2: Convert to fraction form
    9,735.88/13,430.80 = 6,377.20/x
  3. Step 3: Cross multiply
    9,735.88x = 13,430.80 × 6,377.20
  4. Step 4: Simplify right side
    9,735.88x = 85,650,897.76
  5. Step 5: Solve for x
    x = 85,650,897.76/9,735.88
  6. Step 6: Final answer
    x = 8,797.45

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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.