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Finding the Fourth Proportional to 9,648.66, 13,315.52 and 5,615.17

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Solution

The fourth proportional to 9,648.66, 13,315.52 and 5,615.17 is: 7,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.66 : 13,315.52 = 5,615.17 : x
  2. Step 2: Convert to fraction form
    9,648.66/13,315.52 = 5,615.17/x
  3. Step 3: Cross multiply
    9,648.66x = 13,315.52 × 5,615.17
  4. Step 4: Simplify right side
    9,648.66x = 74,768,889.19
  5. Step 5: Solve for x
    x = 74,768,889.19/9,648.66
  6. Step 6: Final answer
    x = 7,749.14

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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.