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Finding the Fourth Proportional to 9,470.23, 13,070.03 and 5,695.32

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Solution

The fourth proportional to 9,470.23, 13,070.03 and 5,695.32 is: 7,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.23 : 13,070.03 = 5,695.32 : x
  2. Step 2: Convert to fraction form
    9,470.23/13,070.03 = 5,695.32/x
  3. Step 3: Cross multiply
    9,470.23x = 13,070.03 × 5,695.32
  4. Step 4: Simplify right side
    9,470.23x = 74,438,003.26
  5. Step 5: Solve for x
    x = 74,438,003.26/9,470.23
  6. Step 6: Final answer
    x = 7,860.21

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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.