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Finding the Fourth Proportional to 7,061.92, 9,742.92 and 4,407.16

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Solution

The fourth proportional to 7,061.92, 9,742.92 and 4,407.16 is: 6,080.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.92 : 9,742.92 = 4,407.16 : x
  2. Step 2: Convert to fraction form
    7,061.92/9,742.92 = 4,407.16/x
  3. Step 3: Cross multiply
    7,061.92x = 9,742.92 × 4,407.16
  4. Step 4: Simplify right side
    7,061.92x = 42,938,607.31
  5. Step 5: Solve for x
    x = 42,938,607.31/7,061.92
  6. Step 6: Final answer
    x = 6,080.30

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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.