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Finding the Fourth Proportional to 9,868.64, 13,616.30 and 5,618.72

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Solution

The fourth proportional to 9,868.64, 13,616.30 and 5,618.72 is: 7,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.64 : 13,616.30 = 5,618.72 : x
  2. Step 2: Convert to fraction form
    9,868.64/13,616.30 = 5,618.72/x
  3. Step 3: Cross multiply
    9,868.64x = 13,616.30 × 5,618.72
  4. Step 4: Simplify right side
    9,868.64x = 76,506,225.22
  5. Step 5: Solve for x
    x = 76,506,225.22/9,868.64
  6. Step 6: Final answer
    x = 7,752.46

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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.