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Finding the Fourth Proportional to 9,753.40, 14,607.38 and 7,555.06

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Solution

The fourth proportional to 9,753.40, 14,607.38 and 7,555.06 is: 11,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.40 : 14,607.38 = 7,555.06 : x
  2. Step 2: Convert to fraction form
    9,753.40/14,607.38 = 7,555.06/x
  3. Step 3: Cross multiply
    9,753.40x = 14,607.38 × 7,555.06
  4. Step 4: Simplify right side
    9,753.40x = 110,359,632.34
  5. Step 5: Solve for x
    x = 110,359,632.34/9,753.40
  6. Step 6: Final answer
    x = 11,314.99

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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.