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Finding the Fourth Proportional to 10,471.96, 14,466.01 and 9,526.08

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Solution

The fourth proportional to 10,471.96, 14,466.01 and 9,526.08 is: 13,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.96 : 14,466.01 = 9,526.08 : x
  2. Step 2: Convert to fraction form
    10,471.96/14,466.01 = 9,526.08/x
  3. Step 3: Cross multiply
    10,471.96x = 14,466.01 × 9,526.08
  4. Step 4: Simplify right side
    10,471.96x = 137,804,308.56
  5. Step 5: Solve for x
    x = 137,804,308.56/10,471.96
  6. Step 6: Final answer
    x = 13,159.37

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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.