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Finding the Fourth Proportional to 7,152.06, 9,870.39 and 4,501.74

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Solution

The fourth proportional to 7,152.06, 9,870.39 and 4,501.74 is: 6,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.06 : 9,870.39 = 4,501.74 : x
  2. Step 2: Convert to fraction form
    7,152.06/9,870.39 = 4,501.74/x
  3. Step 3: Cross multiply
    7,152.06x = 9,870.39 × 4,501.74
  4. Step 4: Simplify right side
    7,152.06x = 44,433,929.48
  5. Step 5: Solve for x
    x = 44,433,929.48/7,152.06
  6. Step 6: Final answer
    x = 6,212.75

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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.