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Finding the Fourth Proportional to 6,339.88, 9,507.36 and 4,386.16

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Solution

The fourth proportional to 6,339.88, 9,507.36 and 4,386.16 is: 6,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.88 : 9,507.36 = 4,386.16 : x
  2. Step 2: Convert to fraction form
    6,339.88/9,507.36 = 4,386.16/x
  3. Step 3: Cross multiply
    6,339.88x = 9,507.36 × 4,386.16
  4. Step 4: Simplify right side
    6,339.88x = 41,700,802.14
  5. Step 5: Solve for x
    x = 41,700,802.14/6,339.88
  6. Step 6: Final answer
    x = 6,577.54

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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.