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Finding the Fourth Proportional to 9,685.30, 14,527.95 and 7,495.60

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Solution

The fourth proportional to 9,685.30, 14,527.95 and 7,495.60 is: 11,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.30 : 14,527.95 = 7,495.60 : x
  2. Step 2: Convert to fraction form
    9,685.30/14,527.95 = 7,495.60/x
  3. Step 3: Cross multiply
    9,685.30x = 14,527.95 × 7,495.60
  4. Step 4: Simplify right side
    9,685.30x = 108,895,702.02
  5. Step 5: Solve for x
    x = 108,895,702.02/9,685.30
  6. Step 6: Final answer
    x = 11,243.40

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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.