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Finding the Fourth Proportional to 9,339.92, 12,886.53 and 6,504.14

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Solution

The fourth proportional to 9,339.92, 12,886.53 and 6,504.14 is: 8,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.92 : 12,886.53 = 6,504.14 : x
  2. Step 2: Convert to fraction form
    9,339.92/12,886.53 = 6,504.14/x
  3. Step 3: Cross multiply
    9,339.92x = 12,886.53 × 6,504.14
  4. Step 4: Simplify right side
    9,339.92x = 83,815,795.23
  5. Step 5: Solve for x
    x = 83,815,795.23/9,339.92
  6. Step 6: Final answer
    x = 8,973.93

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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.