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Finding the Fourth Proportional to 8,875.98, 13,301.01 and 6,416.01

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Solution

The fourth proportional to 8,875.98, 13,301.01 and 6,416.01 is: 9,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.98 : 13,301.01 = 6,416.01 : x
  2. Step 2: Convert to fraction form
    8,875.98/13,301.01 = 6,416.01/x
  3. Step 3: Cross multiply
    8,875.98x = 13,301.01 × 6,416.01
  4. Step 4: Simplify right side
    8,875.98x = 85,339,413.17
  5. Step 5: Solve for x
    x = 85,339,413.17/8,875.98
  6. Step 6: Final answer
    x = 9,614.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.