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Finding the Fourth Proportional to 6,925.91, 9,548.15 and 4,684.23

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Solution

The fourth proportional to 6,925.91, 9,548.15 and 4,684.23 is: 6,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.91 : 9,548.15 = 4,684.23 : x
  2. Step 2: Convert to fraction form
    6,925.91/9,548.15 = 4,684.23/x
  3. Step 3: Cross multiply
    6,925.91x = 9,548.15 × 4,684.23
  4. Step 4: Simplify right side
    6,925.91x = 44,725,707.25
  5. Step 5: Solve for x
    x = 44,725,707.25/6,925.91
  6. Step 6: Final answer
    x = 6,457.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.