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Finding the Fourth Proportional to 7,033,895.42, 9,706,567.14 and 3,894,298.96

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Solution

The fourth proportional to 7,033,895.42, 9,706,567.14 and 3,894,298.96 is: 5,374,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033,895.42 : 9,706,567.14 = 3,894,298.96 : x
  2. Step 2: Convert to fraction form
    7,033,895.42/9,706,567.14 = 3,894,298.96/x
  3. Step 3: Cross multiply
    7,033,895.42x = 9,706,567.14 × 3,894,298.96
  4. Step 4: Simplify right side
    7,033,895.42x = 37,800,274,353,018.07
  5. Step 5: Solve for x
    x = 37,800,274,353,018.07/7,033,895.42
  6. Step 6: Final answer
    x = 5,374,017.11

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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.