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Finding the Fourth Proportional to 6,907.74, 9,529.41 and 4,670.39

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Solution

The fourth proportional to 6,907.74, 9,529.41 and 4,670.39 is: 6,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.74 : 9,529.41 = 4,670.39 : x
  2. Step 2: Convert to fraction form
    6,907.74/9,529.41 = 4,670.39/x
  3. Step 3: Cross multiply
    6,907.74x = 9,529.41 × 4,670.39
  4. Step 4: Simplify right side
    6,907.74x = 44,506,061.17
  5. Step 5: Solve for x
    x = 44,506,061.17/6,907.74
  6. Step 6: Final answer
    x = 6,442.93

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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.