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Finding the Fourth Proportional to 9,465.93, 14,187.56 and 6,688.44

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Solution

The fourth proportional to 9,465.93, 14,187.56 and 6,688.44 is: 10,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.93 : 14,187.56 = 6,688.44 : x
  2. Step 2: Convert to fraction form
    9,465.93/14,187.56 = 6,688.44/x
  3. Step 3: Cross multiply
    9,465.93x = 14,187.56 × 6,688.44
  4. Step 4: Simplify right side
    9,465.93x = 94,892,610.36
  5. Step 5: Solve for x
    x = 94,892,610.36/9,465.93
  6. Step 6: Final answer
    x = 10,024.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.