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Finding the Fourth Proportional to 9,347.42, 12,887.74 and 5,984.71

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Solution

The fourth proportional to 9,347.42, 12,887.74 and 5,984.71 is: 8,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.42 : 12,887.74 = 5,984.71 : x
  2. Step 2: Convert to fraction form
    9,347.42/12,887.74 = 5,984.71/x
  3. Step 3: Cross multiply
    9,347.42x = 12,887.74 × 5,984.71
  4. Step 4: Simplify right side
    9,347.42x = 77,129,386.46
  5. Step 5: Solve for x
    x = 77,129,386.46/9,347.42
  6. Step 6: Final answer
    x = 8,251.41

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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.