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Finding the Fourth Proportional to 9,582.94, 13,226.91 and 7,457.98

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Solution

The fourth proportional to 9,582.94, 13,226.91 and 7,457.98 is: 10,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.94 : 13,226.91 = 7,457.98 : x
  2. Step 2: Convert to fraction form
    9,582.94/13,226.91 = 7,457.98/x
  3. Step 3: Cross multiply
    9,582.94x = 13,226.91 × 7,457.98
  4. Step 4: Simplify right side
    9,582.94x = 98,646,030.24
  5. Step 5: Solve for x
    x = 98,646,030.24/9,582.94
  6. Step 6: Final answer
    x = 10,293.92

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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.