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Finding the Fourth Proportional to 9,345.60, 12,896.46 and 5,153.76

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Solution

The fourth proportional to 9,345.60, 12,896.46 and 5,153.76 is: 7,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.60 : 12,896.46 = 5,153.76 : x
  2. Step 2: Convert to fraction form
    9,345.60/12,896.46 = 5,153.76/x
  3. Step 3: Cross multiply
    9,345.60x = 12,896.46 × 5,153.76
  4. Step 4: Simplify right side
    9,345.60x = 66,465,259.69
  5. Step 5: Solve for x
    x = 66,465,259.69/9,345.60
  6. Step 6: Final answer
    x = 7,111.93

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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.