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Finding the Fourth Proportional to 9,648.76, 13,315.44 and 5,670.40

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Solution

The fourth proportional to 9,648.76, 13,315.44 and 5,670.40 is: 7,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.76 : 13,315.44 = 5,670.40 : x
  2. Step 2: Convert to fraction form
    9,648.76/13,315.44 = 5,670.40/x
  3. Step 3: Cross multiply
    9,648.76x = 13,315.44 × 5,670.40
  4. Step 4: Simplify right side
    9,648.76x = 75,503,870.98
  5. Step 5: Solve for x
    x = 75,503,870.98/9,648.76
  6. Step 6: Final answer
    x = 7,825.24

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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.