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Finding the Fourth Proportional to 9,693.56, 13,376.18 and 5,501

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Solution

The fourth proportional to 9,693.56, 13,376.18 and 5,501 is: 7,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.56 : 13,376.18 = 5,501 : x
  2. Step 2: Convert to fraction form
    9,693.56/13,376.18 = 5,501/x
  3. Step 3: Cross multiply
    9,693.56x = 13,376.18 × 5,501
  4. Step 4: Simplify right side
    9,693.56x = 73,582,366.18
  5. Step 5: Solve for x
    x = 73,582,366.18/9,693.56
  6. Step 6: Final answer
    x = 7,590.85

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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.