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Finding the Fourth Proportional to 6,404.61, 8,828.69 and 5,004.93

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Solution

The fourth proportional to 6,404.61, 8,828.69 and 5,004.93 is: 6,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.61 : 8,828.69 = 5,004.93 : x
  2. Step 2: Convert to fraction form
    6,404.61/8,828.69 = 5,004.93/x
  3. Step 3: Cross multiply
    6,404.61x = 8,828.69 × 5,004.93
  4. Step 4: Simplify right side
    6,404.61x = 44,186,950.42
  5. Step 5: Solve for x
    x = 44,186,950.42/6,404.61
  6. Step 6: Final answer
    x = 6,899.24

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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.