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Finding the Fourth Proportional to 9,837.90, 14,756.85 and 9,455.18

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Solution

The fourth proportional to 9,837.90, 14,756.85 and 9,455.18 is: 14,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.90 : 14,756.85 = 9,455.18 : x
  2. Step 2: Convert to fraction form
    9,837.90/14,756.85 = 9,455.18/x
  3. Step 3: Cross multiply
    9,837.90x = 14,756.85 × 9,455.18
  4. Step 4: Simplify right side
    9,837.90x = 139,528,599.20
  5. Step 5: Solve for x
    x = 139,528,599.20/9,837.90
  6. Step 6: Final answer
    x = 14,182.76

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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.