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Finding the Fourth Proportional to 9,827.60, 13,579.35 and 7,854.44

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Solution

The fourth proportional to 9,827.60, 13,579.35 and 7,854.44 is: 10,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.60 : 13,579.35 = 7,854.44 : x
  2. Step 2: Convert to fraction form
    9,827.60/13,579.35 = 7,854.44/x
  3. Step 3: Cross multiply
    9,827.60x = 13,579.35 × 7,854.44
  4. Step 4: Simplify right side
    9,827.60x = 106,658,189.81
  5. Step 5: Solve for x
    x = 106,658,189.81/9,827.60
  6. Step 6: Final answer
    x = 10,852.92

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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.