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Finding the Fourth Proportional to 7,117,595.76, 9,822,287.34 and 3,854,414.01

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Solution

The fourth proportional to 7,117,595.76, 9,822,287.34 and 3,854,414.01 is: 5,319,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117,595.76 : 9,822,287.34 = 3,854,414.01 : x
  2. Step 2: Convert to fraction form
    7,117,595.76/9,822,287.34 = 3,854,414.01/x
  3. Step 3: Cross multiply
    7,117,595.76x = 9,822,287.34 × 3,854,414.01
  4. Step 4: Simplify right side
    7,117,595.76x = 37,859,161,933,541.63
  5. Step 5: Solve for x
    x = 37,859,161,933,541.63/7,117,595.76
  6. Step 6: Final answer
    x = 5,319,094.15

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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.