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Finding the Fourth Proportional to 9,346, 12,897.64 and 6,039.76

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Solution

The fourth proportional to 9,346, 12,897.64 and 6,039.76 is: 8,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346 : 12,897.64 = 6,039.76 : x
  2. Step 2: Convert to fraction form
    9,346/12,897.64 = 6,039.76/x
  3. Step 3: Cross multiply
    9,346x = 12,897.64 × 6,039.76
  4. Step 4: Simplify right side
    9,346x = 77,898,650.17
  5. Step 5: Solve for x
    x = 77,898,650.17/9,346
  6. Step 6: Final answer
    x = 8,334.97

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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.