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Finding the Fourth Proportional to 9,898.10, 13,661.72 and 6,541.06

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Solution

The fourth proportional to 9,898.10, 13,661.72 and 6,541.06 is: 9,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.10 : 13,661.72 = 6,541.06 : x
  2. Step 2: Convert to fraction form
    9,898.10/13,661.72 = 6,541.06/x
  3. Step 3: Cross multiply
    9,898.10x = 13,661.72 × 6,541.06
  4. Step 4: Simplify right side
    9,898.10x = 89,362,130.22
  5. Step 5: Solve for x
    x = 89,362,130.22/9,898.10
  6. Step 6: Final answer
    x = 9,028.21

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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.