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Finding the Fourth Proportional to 9,695.33, 14,477.31 and 7,698.55

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Solution

The fourth proportional to 9,695.33, 14,477.31 and 7,698.55 is: 11,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.33 : 14,477.31 = 7,698.55 : x
  2. Step 2: Convert to fraction form
    9,695.33/14,477.31 = 7,698.55/x
  3. Step 3: Cross multiply
    9,695.33x = 14,477.31 × 7,698.55
  4. Step 4: Simplify right side
    9,695.33x = 111,454,222.51
  5. Step 5: Solve for x
    x = 111,454,222.51/9,695.33
  6. Step 6: Final answer
    x = 11,495.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.