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Finding the Fourth Proportional to 9,848.77, 14,786.04 and 5,853.47

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Solution

The fourth proportional to 9,848.77, 14,786.04 and 5,853.47 is: 8,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.77 : 14,786.04 = 5,853.47 : x
  2. Step 2: Convert to fraction form
    9,848.77/14,786.04 = 5,853.47/x
  3. Step 3: Cross multiply
    9,848.77x = 14,786.04 × 5,853.47
  4. Step 4: Simplify right side
    9,848.77x = 86,549,641.56
  5. Step 5: Solve for x
    x = 86,549,641.56/9,848.77
  6. Step 6: Final answer
    x = 8,787.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.