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Finding the Fourth Proportional to 9,646.54, 13,308.69 and 5,868.16

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Solution

The fourth proportional to 9,646.54, 13,308.69 and 5,868.16 is: 8,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.54 : 13,308.69 = 5,868.16 : x
  2. Step 2: Convert to fraction form
    9,646.54/13,308.69 = 5,868.16/x
  3. Step 3: Cross multiply
    9,646.54x = 13,308.69 × 5,868.16
  4. Step 4: Simplify right side
    9,646.54x = 78,097,522.31
  5. Step 5: Solve for x
    x = 78,097,522.31/9,646.54
  6. Step 6: Final answer
    x = 8,095.91

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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.