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Finding the Fourth Proportional to 9,713.61, 13,409.34 and 6,356.55

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Solution

The fourth proportional to 9,713.61, 13,409.34 and 6,356.55 is: 8,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.61 : 13,409.34 = 6,356.55 : x
  2. Step 2: Convert to fraction form
    9,713.61/13,409.34 = 6,356.55/x
  3. Step 3: Cross multiply
    9,713.61x = 13,409.34 × 6,356.55
  4. Step 4: Simplify right side
    9,713.61x = 85,237,140.18
  5. Step 5: Solve for x
    x = 85,237,140.18/9,713.61
  6. Step 6: Final answer
    x = 8,775.02

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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.