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Finding the Fourth Proportional to 9,757.86, 14,623.67 and 5,068.11

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Solution

The fourth proportional to 9,757.86, 14,623.67 and 5,068.11 is: 7,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.86 : 14,623.67 = 5,068.11 : x
  2. Step 2: Convert to fraction form
    9,757.86/14,623.67 = 5,068.11/x
  3. Step 3: Cross multiply
    9,757.86x = 14,623.67 × 5,068.11
  4. Step 4: Simplify right side
    9,757.86x = 74,114,368.16
  5. Step 5: Solve for x
    x = 74,114,368.16/9,757.86
  6. Step 6: Final answer
    x = 7,595.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.