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Finding the Fourth Proportional to 9,277.14, 12,802.62 and 5,085.36

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Solution

The fourth proportional to 9,277.14, 12,802.62 and 5,085.36 is: 7,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.14 : 12,802.62 = 5,085.36 : x
  2. Step 2: Convert to fraction form
    9,277.14/12,802.62 = 5,085.36/x
  3. Step 3: Cross multiply
    9,277.14x = 12,802.62 × 5,085.36
  4. Step 4: Simplify right side
    9,277.14x = 65,105,931.64
  5. Step 5: Solve for x
    x = 65,105,931.64/9,277.14
  6. Step 6: Final answer
    x = 7,017.89

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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.