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Finding the Fourth Proportional to 9,835.40, 13,541.50 and 9,164.72

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Solution

The fourth proportional to 9,835.40, 13,541.50 and 9,164.72 is: 12,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.40 : 13,541.50 = 9,164.72 : x
  2. Step 2: Convert to fraction form
    9,835.40/13,541.50 = 9,164.72/x
  3. Step 3: Cross multiply
    9,835.40x = 13,541.50 × 9,164.72
  4. Step 4: Simplify right side
    9,835.40x = 124,104,055.88
  5. Step 5: Solve for x
    x = 124,104,055.88/9,835.40
  6. Step 6: Final answer
    x = 12,618.10

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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.