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Finding the Fourth Proportional to 9,681.80, 14,522.70 and 9,317.30

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Solution

The fourth proportional to 9,681.80, 14,522.70 and 9,317.30 is: 13,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.80 : 14,522.70 = 9,317.30 : x
  2. Step 2: Convert to fraction form
    9,681.80/14,522.70 = 9,317.30/x
  3. Step 3: Cross multiply
    9,681.80x = 14,522.70 × 9,317.30
  4. Step 4: Simplify right side
    9,681.80x = 135,312,352.71
  5. Step 5: Solve for x
    x = 135,312,352.71/9,681.80
  6. Step 6: Final answer
    x = 13,975.95

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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.