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Finding the Fourth Proportional to 9,405.60, 14,107.10 and 6,585.89

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Solution

The fourth proportional to 9,405.60, 14,107.10 and 6,585.89 is: 9,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.60 : 14,107.10 = 6,585.89 : x
  2. Step 2: Convert to fraction form
    9,405.60/14,107.10 = 6,585.89/x
  3. Step 3: Cross multiply
    9,405.60x = 14,107.10 × 6,585.89
  4. Step 4: Simplify right side
    9,405.60x = 92,907,705.35
  5. Step 5: Solve for x
    x = 92,907,705.35/9,405.60
  6. Step 6: Final answer
    x = 9,877.91

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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.