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Finding the Fourth Proportional to 9,642.57, 14,463.59 and 3,069.15

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Solution

The fourth proportional to 9,642.57, 14,463.59 and 3,069.15 is: 4,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.57 : 14,463.59 = 3,069.15 : x
  2. Step 2: Convert to fraction form
    9,642.57/14,463.59 = 3,069.15/x
  3. Step 3: Cross multiply
    9,642.57x = 14,463.59 × 3,069.15
  4. Step 4: Simplify right side
    9,642.57x = 44,390,911.90
  5. Step 5: Solve for x
    x = 44,390,911.90/9,642.57
  6. Step 6: Final answer
    x = 4,603.64

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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.