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Finding the Fourth Proportional to 9,570.17, 13,208.06 and 5,378.42

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Solution

The fourth proportional to 9,570.17, 13,208.06 and 5,378.42 is: 7,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.17 : 13,208.06 = 5,378.42 : x
  2. Step 2: Convert to fraction form
    9,570.17/13,208.06 = 5,378.42/x
  3. Step 3: Cross multiply
    9,570.17x = 13,208.06 × 5,378.42
  4. Step 4: Simplify right side
    9,570.17x = 71,038,494.07
  5. Step 5: Solve for x
    x = 71,038,494.07/9,570.17
  6. Step 6: Final answer
    x = 7,422.91

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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.