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Finding the Fourth Proportional to 10,314.02, 14,225.99 and 9,466.01

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Solution

The fourth proportional to 10,314.02, 14,225.99 and 9,466.01 is: 13,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.02 : 14,225.99 = 9,466.01 : x
  2. Step 2: Convert to fraction form
    10,314.02/14,225.99 = 9,466.01/x
  3. Step 3: Cross multiply
    10,314.02x = 14,225.99 × 9,466.01
  4. Step 4: Simplify right side
    10,314.02x = 134,663,363.60
  5. Step 5: Solve for x
    x = 134,663,363.60/10,314.02
  6. Step 6: Final answer
    x = 13,056.34

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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.