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Finding the Fourth Proportional to 7,113.23, 9,820.88 and 6,365.90

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Solution

The fourth proportional to 7,113.23, 9,820.88 and 6,365.90 is: 8,789.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.23 : 9,820.88 = 6,365.90 : x
  2. Step 2: Convert to fraction form
    7,113.23/9,820.88 = 6,365.90/x
  3. Step 3: Cross multiply
    7,113.23x = 9,820.88 × 6,365.90
  4. Step 4: Simplify right side
    7,113.23x = 62,518,756.59
  5. Step 5: Solve for x
    x = 62,518,756.59/7,113.23
  6. Step 6: Final answer
    x = 8,789.08

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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.