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Finding the Fourth Proportional to 9,446.79, 13,038.38 and 6,254.46

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Solution

The fourth proportional to 9,446.79, 13,038.38 and 6,254.46 is: 8,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.79 : 13,038.38 = 6,254.46 : x
  2. Step 2: Convert to fraction form
    9,446.79/13,038.38 = 6,254.46/x
  3. Step 3: Cross multiply
    9,446.79x = 13,038.38 × 6,254.46
  4. Step 4: Simplify right side
    9,446.79x = 81,547,993.58
  5. Step 5: Solve for x
    x = 81,547,993.58/9,446.79
  6. Step 6: Final answer
    x = 8,632.35

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Why These Related Problems?

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