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Finding the Fourth Proportional to 9,854.65, 14,774.14 and 5,689.94

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Solution

The fourth proportional to 9,854.65, 14,774.14 and 5,689.94 is: 8,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.65 : 14,774.14 = 5,689.94 : x
  2. Step 2: Convert to fraction form
    9,854.65/14,774.14 = 5,689.94/x
  3. Step 3: Cross multiply
    9,854.65x = 14,774.14 × 5,689.94
  4. Step 4: Simplify right side
    9,854.65x = 84,064,014.20
  5. Step 5: Solve for x
    x = 84,064,014.20/9,854.65
  6. Step 6: Final answer
    x = 8,530.39

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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.