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Finding the Fourth Proportional to 9,583.71, 13,232.73 and 9,430.62

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Solution

The fourth proportional to 9,583.71, 13,232.73 and 9,430.62 is: 13,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.71 : 13,232.73 = 9,430.62 : x
  2. Step 2: Convert to fraction form
    9,583.71/13,232.73 = 9,430.62/x
  3. Step 3: Cross multiply
    9,583.71x = 13,232.73 × 9,430.62
  4. Step 4: Simplify right side
    9,583.71x = 124,792,848.19
  5. Step 5: Solve for x
    x = 124,792,848.19/9,583.71
  6. Step 6: Final answer
    x = 13,021.35

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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.