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Finding the Fourth Proportional to 35,790.98, 53,686.48 and 9,497.78

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Solution

The fourth proportional to 35,790.98, 53,686.48 and 9,497.78 is: 14,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790.98 : 53,686.48 = 9,497.78 : x
  2. Step 2: Convert to fraction form
    35,790.98/53,686.48 = 9,497.78/x
  3. Step 3: Cross multiply
    35,790.98x = 53,686.48 × 9,497.78
  4. Step 4: Simplify right side
    35,790.98x = 509,902,376.01
  5. Step 5: Solve for x
    x = 509,902,376.01/35,790.98
  6. Step 6: Final answer
    x = 14,246.67

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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.