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Finding the Fourth Proportional to 7,055.91, 9,735.19 and 4,406.00

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Solution

The fourth proportional to 7,055.91, 9,735.19 and 4,406.00 is: 6,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.91 : 9,735.19 = 4,406.00 : x
  2. Step 2: Convert to fraction form
    7,055.91/9,735.19 = 4,406.00/x
  3. Step 3: Cross multiply
    7,055.91x = 9,735.19 × 4,406.00
  4. Step 4: Simplify right side
    7,055.91x = 42,893,187.45
  5. Step 5: Solve for x
    x = 42,893,187.45/7,055.91
  6. Step 6: Final answer
    x = 6,079.04

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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.