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Finding the Fourth Proportional to 7,127.06, 9,838.13 and 4,768.34

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Solution

The fourth proportional to 7,127.06, 9,838.13 and 4,768.34 is: 6,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.06 : 9,838.13 = 4,768.34 : x
  2. Step 2: Convert to fraction form
    7,127.06/9,838.13 = 4,768.34/x
  3. Step 3: Cross multiply
    7,127.06x = 9,838.13 × 4,768.34
  4. Step 4: Simplify right side
    7,127.06x = 46,911,475.77
  5. Step 5: Solve for x
    x = 46,911,475.77/7,127.06
  6. Step 6: Final answer
    x = 6,582.17

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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.