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Finding the Fourth Proportional to 9,156.69, 13,746.26 and 6,039.30

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Solution

The fourth proportional to 9,156.69, 13,746.26 and 6,039.30 is: 9,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.69 : 13,746.26 = 6,039.30 : x
  2. Step 2: Convert to fraction form
    9,156.69/13,746.26 = 6,039.30/x
  3. Step 3: Cross multiply
    9,156.69x = 13,746.26 × 6,039.30
  4. Step 4: Simplify right side
    9,156.69x = 83,017,788.02
  5. Step 5: Solve for x
    x = 83,017,788.02/9,156.69
  6. Step 6: Final answer
    x = 9,066.35

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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.