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Finding the Fourth Proportional to 7,045.89, 9,722.03 and 4,778.10

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Solution

The fourth proportional to 7,045.89, 9,722.03 and 4,778.10 is: 6,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.89 : 9,722.03 = 4,778.10 : x
  2. Step 2: Convert to fraction form
    7,045.89/9,722.03 = 4,778.10/x
  3. Step 3: Cross multiply
    7,045.89x = 9,722.03 × 4,778.10
  4. Step 4: Simplify right side
    7,045.89x = 46,452,807.65
  5. Step 5: Solve for x
    x = 46,452,807.65/7,045.89
  6. Step 6: Final answer
    x = 6,592.89

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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.