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Finding the Fourth Proportional to 9,643.90, 14,466.65 and 3,069.90

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Solution

The fourth proportional to 9,643.90, 14,466.65 and 3,069.90 is: 4,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.90 : 14,466.65 = 3,069.90 : x
  2. Step 2: Convert to fraction form
    9,643.90/14,466.65 = 3,069.90/x
  3. Step 3: Cross multiply
    9,643.90x = 14,466.65 × 3,069.90
  4. Step 4: Simplify right side
    9,643.90x = 44,411,168.84
  5. Step 5: Solve for x
    x = 44,411,168.84/9,643.90
  6. Step 6: Final answer
    x = 4,605.10

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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.