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Finding the Fourth Proportional to 9,778.32, 13,485.78 and 6,045.84

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Solution

The fourth proportional to 9,778.32, 13,485.78 and 6,045.84 is: 8,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 13,485.78 = 6,045.84 : x
  2. Step 2: Convert to fraction form
    9,778.32/13,485.78 = 6,045.84/x
  3. Step 3: Cross multiply
    9,778.32x = 13,485.78 × 6,045.84
  4. Step 4: Simplify right side
    9,778.32x = 81,532,868.16
  5. Step 5: Solve for x
    x = 81,532,868.16/9,778.32
  6. Step 6: Final answer
    x = 8,338.13

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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.