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Finding the Fourth Proportional to 9,277.21, 12,802.53 and 5,085.46

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Solution

The fourth proportional to 9,277.21, 12,802.53 and 5,085.46 is: 7,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.21 : 12,802.53 = 5,085.46 : x
  2. Step 2: Convert to fraction form
    9,277.21/12,802.53 = 5,085.46/x
  3. Step 3: Cross multiply
    9,277.21x = 12,802.53 × 5,085.46
  4. Step 4: Simplify right side
    9,277.21x = 65,106,754.21
  5. Step 5: Solve for x
    x = 65,106,754.21/9,277.21
  6. Step 6: Final answer
    x = 7,017.92

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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.