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Finding the Fourth Proportional to 9,715.10, 14,583.45 and 5,341.10

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Solution

The fourth proportional to 9,715.10, 14,583.45 and 5,341.10 is: 8,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.10 : 14,583.45 = 5,341.10 : x
  2. Step 2: Convert to fraction form
    9,715.10/14,583.45 = 5,341.10/x
  3. Step 3: Cross multiply
    9,715.10x = 14,583.45 × 5,341.10
  4. Step 4: Simplify right side
    9,715.10x = 77,891,664.80
  5. Step 5: Solve for x
    x = 77,891,664.80/9,715.10
  6. Step 6: Final answer
    x = 8,017.59

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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.