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Finding the Fourth Proportional to 6,715.92, 9,271.02 and 4,594.86

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Solution

The fourth proportional to 6,715.92, 9,271.02 and 4,594.86 is: 6,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.92 : 9,271.02 = 4,594.86 : x
  2. Step 2: Convert to fraction form
    6,715.92/9,271.02 = 4,594.86/x
  3. Step 3: Cross multiply
    6,715.92x = 9,271.02 × 4,594.86
  4. Step 4: Simplify right side
    6,715.92x = 42,599,038.96
  5. Step 5: Solve for x
    x = 42,599,038.96/6,715.92
  6. Step 6: Final answer
    x = 6,342.99

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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.