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Finding the Fourth Proportional to 6,459.51, 9,681.15 and 3,497.85

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Solution

The fourth proportional to 6,459.51, 9,681.15 and 3,497.85 is: 5,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.51 : 9,681.15 = 3,497.85 : x
  2. Step 2: Convert to fraction form
    6,459.51/9,681.15 = 3,497.85/x
  3. Step 3: Cross multiply
    6,459.51x = 9,681.15 × 3,497.85
  4. Step 4: Simplify right side
    6,459.51x = 33,863,210.53
  5. Step 5: Solve for x
    x = 33,863,210.53/6,459.51
  6. Step 6: Final answer
    x = 5,242.38

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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.