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Finding the Fourth Proportional to 9,700.35, 14,537.90 and 4,359.57

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Solution

The fourth proportional to 9,700.35, 14,537.90 and 4,359.57 is: 6,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.35 : 14,537.90 = 4,359.57 : x
  2. Step 2: Convert to fraction form
    9,700.35/14,537.90 = 4,359.57/x
  3. Step 3: Cross multiply
    9,700.35x = 14,537.90 × 4,359.57
  4. Step 4: Simplify right side
    9,700.35x = 63,378,898.22
  5. Step 5: Solve for x
    x = 63,378,898.22/9,700.35
  6. Step 6: Final answer
    x = 6,533.67

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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.