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Finding the Fourth Proportional to 9,687.02, 13,368.53 and 7,587.50

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Solution

The fourth proportional to 9,687.02, 13,368.53 and 7,587.50 is: 10,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.02 : 13,368.53 = 7,587.50 : x
  2. Step 2: Convert to fraction form
    9,687.02/13,368.53 = 7,587.50/x
  3. Step 3: Cross multiply
    9,687.02x = 13,368.53 × 7,587.50
  4. Step 4: Simplify right side
    9,687.02x = 101,433,683.44
  5. Step 5: Solve for x
    x = 101,433,683.44/9,687.02
  6. Step 6: Final answer
    x = 10,471.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.