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Finding the Fourth Proportional to 9,780.30, 14,670.45 and 9,585.90

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Solution

The fourth proportional to 9,780.30, 14,670.45 and 9,585.90 is: 14,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.30 : 14,670.45 = 9,585.90 : x
  2. Step 2: Convert to fraction form
    9,780.30/14,670.45 = 9,585.90/x
  3. Step 3: Cross multiply
    9,780.30x = 14,670.45 × 9,585.90
  4. Step 4: Simplify right side
    9,780.30x = 140,629,466.66
  5. Step 5: Solve for x
    x = 140,629,466.66/9,780.30
  6. Step 6: Final answer
    x = 14,378.85

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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.