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Finding the Fourth Proportional to 9,298.16, 14,011.20 and 7,690.88

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Solution

The fourth proportional to 9,298.16, 14,011.20 and 7,690.88 is: 11,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.16 : 14,011.20 = 7,690.88 : x
  2. Step 2: Convert to fraction form
    9,298.16/14,011.20 = 7,690.88/x
  3. Step 3: Cross multiply
    9,298.16x = 14,011.20 × 7,690.88
  4. Step 4: Simplify right side
    9,298.16x = 107,758,457.86
  5. Step 5: Solve for x
    x = 107,758,457.86/9,298.16
  6. Step 6: Final answer
    x = 11,589.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.