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Finding the Fourth Proportional to 9,780.94, 13,494.16 and 6,425.58

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Solution

The fourth proportional to 9,780.94, 13,494.16 and 6,425.58 is: 8,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.94 : 13,494.16 = 6,425.58 : x
  2. Step 2: Convert to fraction form
    9,780.94/13,494.16 = 6,425.58/x
  3. Step 3: Cross multiply
    9,780.94x = 13,494.16 × 6,425.58
  4. Step 4: Simplify right side
    9,780.94x = 86,707,804.61
  5. Step 5: Solve for x
    x = 86,707,804.61/9,780.94
  6. Step 6: Final answer
    x = 8,864.98

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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.