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Finding the Fourth Proportional to 9,303.47, 12,838.73 and 5,054.49

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Solution

The fourth proportional to 9,303.47, 12,838.73 and 5,054.49 is: 6,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.47 : 12,838.73 = 5,054.49 : x
  2. Step 2: Convert to fraction form
    9,303.47/12,838.73 = 5,054.49/x
  3. Step 3: Cross multiply
    9,303.47x = 12,838.73 × 5,054.49
  4. Step 4: Simplify right side
    9,303.47x = 64,893,207.13
  5. Step 5: Solve for x
    x = 64,893,207.13/9,303.47
  6. Step 6: Final answer
    x = 6,975.17

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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.