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Finding the Fourth Proportional to 9,030.16, 12,457.92 and 5,492.80

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Solution

The fourth proportional to 9,030.16, 12,457.92 and 5,492.80 is: 7,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.16 : 12,457.92 = 5,492.80 : x
  2. Step 2: Convert to fraction form
    9,030.16/12,457.92 = 5,492.80/x
  3. Step 3: Cross multiply
    9,030.16x = 12,457.92 × 5,492.80
  4. Step 4: Simplify right side
    9,030.16x = 68,428,862.98
  5. Step 5: Solve for x
    x = 68,428,862.98/9,030.16
  6. Step 6: Final answer
    x = 7,577.81

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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.