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Finding the Fourth Proportional to 9,307.14, 12,856.93 and 8,466.36

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Solution

The fourth proportional to 9,307.14, 12,856.93 and 8,466.36 is: 11,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.14 : 12,856.93 = 8,466.36 : x
  2. Step 2: Convert to fraction form
    9,307.14/12,856.93 = 8,466.36/x
  3. Step 3: Cross multiply
    9,307.14x = 12,856.93 × 8,466.36
  4. Step 4: Simplify right side
    9,307.14x = 108,851,376.71
  5. Step 5: Solve for x
    x = 108,851,376.71/9,307.14
  6. Step 6: Final answer
    x = 11,695.47

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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.