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Finding the Fourth Proportional to 9,541.60, 14,312.40 and 5,167.60

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Solution

The fourth proportional to 9,541.60, 14,312.40 and 5,167.60 is: 7,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.60 : 14,312.40 = 5,167.60 : x
  2. Step 2: Convert to fraction form
    9,541.60/14,312.40 = 5,167.60/x
  3. Step 3: Cross multiply
    9,541.60x = 14,312.40 × 5,167.60
  4. Step 4: Simplify right side
    9,541.60x = 73,960,758.24
  5. Step 5: Solve for x
    x = 73,960,758.24/9,541.60
  6. Step 6: Final answer
    x = 7,751.40

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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.