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Finding the Fourth Proportional to 9,530.67, 14,300.88 and 4,538.69

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Solution

The fourth proportional to 9,530.67, 14,300.88 and 4,538.69 is: 6,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.67 : 14,300.88 = 4,538.69 : x
  2. Step 2: Convert to fraction form
    9,530.67/14,300.88 = 4,538.69/x
  3. Step 3: Cross multiply
    9,530.67x = 14,300.88 × 4,538.69
  4. Step 4: Simplify right side
    9,530.67x = 64,907,166.85
  5. Step 5: Solve for x
    x = 64,907,166.85/9,530.67
  6. Step 6: Final answer
    x = 6,810.35

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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.