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Finding the Fourth Proportional to 10,459.12, 14,412.31 and 9,720.94

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Solution

The fourth proportional to 10,459.12, 14,412.31 and 9,720.94 is: 13,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.12 : 14,412.31 = 9,720.94 : x
  2. Step 2: Convert to fraction form
    10,459.12/14,412.31 = 9,720.94/x
  3. Step 3: Cross multiply
    10,459.12x = 14,412.31 × 9,720.94
  4. Step 4: Simplify right side
    10,459.12x = 140,101,200.77
  5. Step 5: Solve for x
    x = 140,101,200.77/10,459.12
  6. Step 6: Final answer
    x = 13,395.12

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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.