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Finding the Fourth Proportional to 9,693.60, 13,376.70 and 5,501.76

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Solution

The fourth proportional to 9,693.60, 13,376.70 and 5,501.76 is: 7,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.60 : 13,376.70 = 5,501.76 : x
  2. Step 2: Convert to fraction form
    9,693.60/13,376.70 = 5,501.76/x
  3. Step 3: Cross multiply
    9,693.60x = 13,376.70 × 5,501.76
  4. Step 4: Simplify right side
    9,693.60x = 73,595,392.99
  5. Step 5: Solve for x
    x = 73,595,392.99/9,693.60
  6. Step 6: Final answer
    x = 7,592.16

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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.