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Finding the Fourth Proportional to 10,607.76, 14,647.32 and 9,486.72

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Solution

The fourth proportional to 10,607.76, 14,647.32 and 9,486.72 is: 13,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.76 : 14,647.32 = 9,486.72 : x
  2. Step 2: Convert to fraction form
    10,607.76/14,647.32 = 9,486.72/x
  3. Step 3: Cross multiply
    10,607.76x = 14,647.32 × 9,486.72
  4. Step 4: Simplify right side
    10,607.76x = 138,955,023.59
  5. Step 5: Solve for x
    x = 138,955,023.59/10,607.76
  6. Step 6: Final answer
    x = 13,099.37

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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.