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Finding the Fourth Proportional to 6,886.61, 9,498.09 and 4,762.99

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Solution

The fourth proportional to 6,886.61, 9,498.09 and 4,762.99 is: 6,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.61 : 9,498.09 = 4,762.99 : x
  2. Step 2: Convert to fraction form
    6,886.61/9,498.09 = 4,762.99/x
  3. Step 3: Cross multiply
    6,886.61x = 9,498.09 × 4,762.99
  4. Step 4: Simplify right side
    6,886.61x = 45,239,307.69
  5. Step 5: Solve for x
    x = 45,239,307.69/6,886.61
  6. Step 6: Final answer
    x = 6,569.17

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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.