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Finding the Fourth Proportional to 9,264.90, 12,784.36 and 5,285.76

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Solution

The fourth proportional to 9,264.90, 12,784.36 and 5,285.76 is: 7,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.90 : 12,784.36 = 5,285.76 : x
  2. Step 2: Convert to fraction form
    9,264.90/12,784.36 = 5,285.76/x
  3. Step 3: Cross multiply
    9,264.90x = 12,784.36 × 5,285.76
  4. Step 4: Simplify right side
    9,264.90x = 67,575,058.71
  5. Step 5: Solve for x
    x = 67,575,058.71/9,264.90
  6. Step 6: Final answer
    x = 7,293.66

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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.