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Finding the Fourth Proportional to 10,466.07, 14,407.90 and 9,069.09

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Solution

The fourth proportional to 10,466.07, 14,407.90 and 9,069.09 is: 12,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.07 : 14,407.90 = 9,069.09 : x
  2. Step 2: Convert to fraction form
    10,466.07/14,407.90 = 9,069.09/x
  3. Step 3: Cross multiply
    10,466.07x = 14,407.90 × 9,069.09
  4. Step 4: Simplify right side
    10,466.07x = 130,666,541.81
  5. Step 5: Solve for x
    x = 130,666,541.81/10,466.07
  6. Step 6: Final answer
    x = 12,484.78

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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.