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Finding the Fourth Proportional to 9,342.81, 12,894.49 and 5,807.16

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Solution

The fourth proportional to 9,342.81, 12,894.49 and 5,807.16 is: 8,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.81 : 12,894.49 = 5,807.16 : x
  2. Step 2: Convert to fraction form
    9,342.81/12,894.49 = 5,807.16/x
  3. Step 3: Cross multiply
    9,342.81x = 12,894.49 × 5,807.16
  4. Step 4: Simplify right side
    9,342.81x = 74,880,373.81
  5. Step 5: Solve for x
    x = 74,880,373.81/9,342.81
  6. Step 6: Final answer
    x = 8,014.76

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1.5x scale

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.