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Finding the Fourth Proportional to 9,681.12, 14,515.20 and 4,484.16

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Solution

The fourth proportional to 9,681.12, 14,515.20 and 4,484.16 is: 6,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.12 : 14,515.20 = 4,484.16 : x
  2. Step 2: Convert to fraction form
    9,681.12/14,515.20 = 4,484.16/x
  3. Step 3: Cross multiply
    9,681.12x = 14,515.20 × 4,484.16
  4. Step 4: Simplify right side
    9,681.12x = 65,088,479.23
  5. Step 5: Solve for x
    x = 65,088,479.23/9,681.12
  6. Step 6: Final answer
    x = 6,723.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.