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Finding the Fourth Proportional to 9,585.90, 14,384.34 and 5,203.73

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Solution

The fourth proportional to 9,585.90, 14,384.34 and 5,203.73 is: 7,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.90 : 14,384.34 = 5,203.73 : x
  2. Step 2: Convert to fraction form
    9,585.90/14,384.34 = 5,203.73/x
  3. Step 3: Cross multiply
    9,585.90x = 14,384.34 × 5,203.73
  4. Step 4: Simplify right side
    9,585.90x = 74,852,149.67
  5. Step 5: Solve for x
    x = 74,852,149.67/9,585.90
  6. Step 6: Final answer
    x = 7,808.57

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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.