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Finding the Fourth Proportional to 9,423.76, 13,005.24 and 5,445.40

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Solution

The fourth proportional to 9,423.76, 13,005.24 and 5,445.40 is: 7,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.76 : 13,005.24 = 5,445.40 : x
  2. Step 2: Convert to fraction form
    9,423.76/13,005.24 = 5,445.40/x
  3. Step 3: Cross multiply
    9,423.76x = 13,005.24 × 5,445.40
  4. Step 4: Simplify right side
    9,423.76x = 70,818,733.90
  5. Step 5: Solve for x
    x = 70,818,733.90/9,423.76
  6. Step 6: Final answer
    x = 7,514.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.