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Finding the Fourth Proportional to 9,856.66, 14,746.65 and 9,029.29

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Solution

The fourth proportional to 9,856.66, 14,746.65 and 9,029.29 is: 13,508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.66 : 14,746.65 = 9,029.29 : x
  2. Step 2: Convert to fraction form
    9,856.66/14,746.65 = 9,029.29/x
  3. Step 3: Cross multiply
    9,856.66x = 14,746.65 × 9,029.29
  4. Step 4: Simplify right side
    9,856.66x = 133,151,779.38
  5. Step 5: Solve for x
    x = 133,151,779.38/9,856.66
  6. Step 6: Final answer
    x = 13,508.81

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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.