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Finding the Fourth Proportional to 7,054.74, 9,735.93 and 4,695.30

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Solution

The fourth proportional to 7,054.74, 9,735.93 and 4,695.30 is: 6,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.74 : 9,735.93 = 4,695.30 : x
  2. Step 2: Convert to fraction form
    7,054.74/9,735.93 = 4,695.30/x
  3. Step 3: Cross multiply
    7,054.74x = 9,735.93 × 4,695.30
  4. Step 4: Simplify right side
    7,054.74x = 45,713,112.13
  5. Step 5: Solve for x
    x = 45,713,112.13/7,054.74
  6. Step 6: Final answer
    x = 6,479.77

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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.