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Finding the Fourth Proportional to 9,347.16, 12,895.02 and 5,619

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Solution

The fourth proportional to 9,347.16, 12,895.02 and 5,619 is: 7,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.16 : 12,895.02 = 5,619 : x
  2. Step 2: Convert to fraction form
    9,347.16/12,895.02 = 5,619/x
  3. Step 3: Cross multiply
    9,347.16x = 12,895.02 × 5,619
  4. Step 4: Simplify right side
    9,347.16x = 72,457,117.38
  5. Step 5: Solve for x
    x = 72,457,117.38/9,347.16
  6. Step 6: Final answer
    x = 7,751.78

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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.