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Finding the Fourth Proportional to 9,704.21, 13,381.21 and 6,554.93

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Solution

The fourth proportional to 9,704.21, 13,381.21 and 6,554.93 is: 9,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.21 : 13,381.21 = 6,554.93 : x
  2. Step 2: Convert to fraction form
    9,704.21/13,381.21 = 6,554.93/x
  3. Step 3: Cross multiply
    9,704.21x = 13,381.21 × 6,554.93
  4. Step 4: Simplify right side
    9,704.21x = 87,712,894.87
  5. Step 5: Solve for x
    x = 87,712,894.87/9,704.21
  6. Step 6: Final answer
    x = 9,038.64

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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.