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Finding the Fourth Proportional to 9,700.81, 14,557.59 and 5,321.34

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Solution

The fourth proportional to 9,700.81, 14,557.59 and 5,321.34 is: 7,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.81 : 14,557.59 = 5,321.34 : x
  2. Step 2: Convert to fraction form
    9,700.81/14,557.59 = 5,321.34/x
  3. Step 3: Cross multiply
    9,700.81x = 14,557.59 × 5,321.34
  4. Step 4: Simplify right side
    9,700.81x = 77,465,885.97
  5. Step 5: Solve for x
    x = 77,465,885.97/9,700.81
  6. Step 6: Final answer
    x = 7,985.51

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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.